---
_id: '2100'
abstract:
- lang: eng
text: Acquiring panoramic images using stitching takes a lot of time and moving
objects may cause ghosting. It is also difficult to obtain a full spherical panorama,
because the downward picture cannot be captured while the camera is mounted on
the tripod.
author:
- first_name: Jonas
full_name: Pfeil, Jonas
last_name: Pfeil
- first_name: Kristian
full_name: Hildebrand, Kristian
last_name: Hildebrand
- first_name: Carsten
full_name: Gremzow, Carsten
last_name: Gremzow
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Marc
full_name: Alexa, Marc
last_name: Alexa
citation:
ama: 'Pfeil J, Hildebrand K, Gremzow C, Bickel B, Alexa M. Throwable panoramic ball
camera. In: ACM; 2011. doi:10.1145/2073370.2073373'
apa: Pfeil, J., Hildebrand, K., Gremzow, C., Bickel, B., & Alexa, M. (2011).
Throwable panoramic ball camera. Presented at the SIGGRAPH Asia, ACM. https://doi.org/10.1145/2073370.2073373
chicago: Pfeil, Jonas, Kristian Hildebrand, Carsten Gremzow, Bernd Bickel, and Marc
Alexa. “Throwable Panoramic Ball Camera.” ACM, 2011. https://doi.org/10.1145/2073370.2073373.
ieee: J. Pfeil, K. Hildebrand, C. Gremzow, B. Bickel, and M. Alexa, “Throwable panoramic
ball camera,” presented at the SIGGRAPH Asia, 2011.
ista: Pfeil J, Hildebrand K, Gremzow C, Bickel B, Alexa M. 2011. Throwable panoramic
ball camera. SIGGRAPH Asia.
mla: Pfeil, Jonas, et al. Throwable Panoramic Ball Camera. ACM, 2011, doi:10.1145/2073370.2073373.
short: J. Pfeil, K. Hildebrand, C. Gremzow, B. Bickel, M. Alexa, in:, ACM, 2011.
conference:
name: SIGGRAPH Asia
date_created: 2018-12-11T11:55:43Z
date_published: 2011-12-01T00:00:00Z
date_updated: 2021-01-12T06:55:19Z
day: '01'
doi: 10.1145/2073370.2073373
extern: 1
month: '12'
publication_status: published
publisher: ACM
publist_id: '4934'
quality_controlled: 0
status: public
title: Throwable panoramic ball camera
type: conference
year: '2011'
...
---
_id: '2116'
abstract:
- lang: eng
text: Let P be the Ornstein-Uhlenbeck semigroup associated with the stochastic Cauchy
problem dU(t)=AU(t)dt+dWH(t), where A is the generator of a C 0-semigroup S on
a Banach space E, H is a Hilbert subspace of E, and W H is an H-cylindrical Brownian
motion. Assuming that S restricts to a C 0-semigroup on H, we obtain L p -bounds
for D H P(t). We show that if P is analytic, then the invariance assumption is
fulfilled. As an application we determine the L p -domain of the generator of
P explicitly in the case where S restricts to a C 0-semigroup on H which is similar
to an analytic contraction semigroup. The results are applied to the 1D stochastic
heat equation driven by additive space-time white noise.
acknowledgement: 'The authors are supported by VIDI subsidy 639.032.201 (JM) and VICI
subsidy 639.033.604 (JvN) of the Netherlands Organisation for Scientific Research
(NWO). '
author:
- first_name: Jan
full_name: Jan Maas
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
- first_name: Jan
full_name: Van Neerven, Jan
last_name: Van Neerven
citation:
ama: 'Maas J, Van Neerven J. Gradient estimates and domain identification for analytic
Ornstein-Uhlenbeck operators. In: Parabolic Problems. Vol 80. Birkhäuser;
2011:463-477. doi:10.1007/978-3-0348-0075-4_24'
apa: Maas, J., & Van Neerven, J. (2011). Gradient estimates and domain identification
for analytic Ornstein-Uhlenbeck operators. In Parabolic Problems (Vol.
80, pp. 463–477). Birkhäuser. https://doi.org/10.1007/978-3-0348-0075-4_24
chicago: Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification
for Analytic Ornstein-Uhlenbeck Operators.” In Parabolic Problems, 80:463–77.
Birkhäuser, 2011. https://doi.org/10.1007/978-3-0348-0075-4_24.
ieee: J. Maas and J. Van Neerven, “Gradient estimates and domain identification
for analytic Ornstein-Uhlenbeck operators,” in Parabolic Problems, vol.
80, Birkhäuser, 2011, pp. 463–477.
ista: 'Maas J, Van Neerven J. 2011.Gradient estimates and domain identification
for analytic Ornstein-Uhlenbeck operators. In: Parabolic Problems. vol. 80, 463–477.'
mla: Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification
for Analytic Ornstein-Uhlenbeck Operators.” Parabolic Problems, vol. 80,
Birkhäuser, 2011, pp. 463–77, doi:10.1007/978-3-0348-0075-4_24.
short: J. Maas, J. Van Neerven, in:, Parabolic Problems, Birkhäuser, 2011, pp. 463–477.
date_created: 2018-12-11T11:55:48Z
date_published: 2011-06-10T00:00:00Z
date_updated: 2021-01-12T06:55:24Z
day: '10'
doi: 10.1007/978-3-0348-0075-4_24
extern: 1
intvolume: ' 80'
main_file_link:
- open_access: '1'
url: 'http://arxiv.org/abs/0911.4336 '
month: '06'
oa: 1
page: 463 - 477
publication: Parabolic Problems
publication_status: published
publisher: Birkhäuser
publist_id: '4918'
quality_controlled: 0
status: public
title: Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck
operators
type: book_chapter
volume: 80
year: '2011'
...
---
_id: '2122'
abstract:
- lang: eng
text: We study, in L1(R̃n; γ) with respect to the gaussian measure, non- tangential
maximal functions and conical square functions associ- ated with the Ornstein-Uhlenbeck
operator by developing a set of techniques which allow us, to some extent, to
compensate for the non-doubling character of the gaussian measure. The main result
asserts that conical square functions can be controlled in L1-norm by non-tangential
maximal functions. Along the way we prove a change of aperture result for the
latter. This complements recent results on gaussian Hardy spaces due to Mauceri
and Meda.
acknowledgement: The first named author is supported by Rubicon subsidy 680-50-0901
of the Netherlands Organisation for Scientific Research (NWO). The second named
author is supported by VICI subsidy 639.033.604 of the Netherlands Organisation
for Scientific Research (NWO
author:
- first_name: Jan
full_name: Jan Maas
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
- first_name: Jan
full_name: van Neerven, Jan M
last_name: Van Neerven
- first_name: Pierre
full_name: Portal, Pierre
last_name: Portal
citation:
ama: Maas J, Van Neerven J, Portal P. Conical square functions and non-tangential
maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques.
2011;55(2):313-341. doi:10.5565/PUBLMAT_55211_03
apa: Maas, J., Van Neerven, J., & Portal, P. (2011). Conical square functions
and non-tangential maximal functions with respect to the Gaussian measure. Publicacions
Matemàtiques. Universitat Autònoma de Barcelona, Departament de Matemàtique.
https://doi.org/10.5565/PUBLMAT_55211_03
chicago: Maas, Jan, Jan Van Neerven, and Pierre Portal. “Conical Square Functions
and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” Publicacions
Matemàtiques. Universitat Autònoma de Barcelona, Departament de Matemàtique,
2011. https://doi.org/10.5565/PUBLMAT_55211_03
.
ieee: J. Maas, J. Van Neerven, and P. Portal, “Conical square functions and non-tangential
maximal functions with respect to the Gaussian measure,” Publicacions Matemàtiques,
vol. 55, no. 2. Universitat Autònoma de Barcelona, Departament de Matemàtique,
pp. 313–341, 2011.
ista: Maas J, Van Neerven J, Portal P. 2011. Conical square functions and non-tangential
maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques.
55(2), 313–341.
mla: Maas, Jan, et al. “Conical Square Functions and Non-Tangential Maximal Functions
with Respect to the Gaussian Measure.” Publicacions Matemàtiques, vol.
55, no. 2, Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011,
pp. 313–41, doi:10.5565/PUBLMAT_55211_03
.
short: J. Maas, J. Van Neerven, P. Portal, Publicacions Matemàtiques 55 (2011) 313–341.
date_created: 2018-12-11T11:55:50Z
date_published: 2011-07-01T00:00:00Z
date_updated: 2021-01-12T06:55:26Z
day: '01'
doi: "10.5565/PUBLMAT_55211_03\t "
extern: 1
intvolume: ' 55'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1003.4092
month: '07'
oa: 1
page: 313 - 341
publication: Publicacions Matemàtiques
publication_status: published
publisher: Universitat Autònoma de Barcelona, Departament de Matemàtique
publist_id: '4910'
quality_controlled: 0
status: public
title: Conical square functions and non-tangential maximal functions with respect
to the Gaussian measure
type: journal_article
volume: 55
year: '2011'
...
---
_id: '2123'
abstract:
- lang: eng
text: We prove a Trotter product formula for gradient flows in metric spaces. This
result is applied to establish convergence in the L 2-Wasserstein metric of the
splitting method for some Fokker-Planck equations and porous medium type equations
perturbed by a potential.
acknowledgement: The second named author is supported by Rubicon subsidy 680-50-0901
of the Netherlands Organisation for Scientific Research (NWO).
article_processing_charge: No
author:
- first_name: Philippe
full_name: Clément, Philippe
last_name: Clément
- first_name: Jan
full_name: Maas, Jan
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
citation:
ama: Clément P, Maas J. A Trotter product formula for gradient flows in metric spaces.
Journal of Evolution Equations. 2011;11(2):405-427. doi:10.1007/s00028-010-0096-5
apa: Clément, P., & Maas, J. (2011). A Trotter product formula for gradient
flows in metric spaces. Journal of Evolution Equations. Birkhäuser. https://doi.org/10.1007/s00028-010-0096-5
chicago: Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient
Flows in Metric Spaces.” Journal of Evolution Equations. Birkhäuser, 2011.
https://doi.org/10.1007/s00028-010-0096-5.
ieee: P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric
spaces,” Journal of Evolution Equations, vol. 11, no. 2. Birkhäuser, pp.
405–427, 2011.
ista: Clément P, Maas J. 2011. A Trotter product formula for gradient flows in metric
spaces. Journal of Evolution Equations. 11(2), 405–427.
mla: Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows
in Metric Spaces.” Journal of Evolution Equations, vol. 11, no. 2, Birkhäuser,
2011, pp. 405–27, doi:10.1007/s00028-010-0096-5.
short: P. Clément, J. Maas, Journal of Evolution Equations 11 (2011) 405–427.
date_created: 2018-12-11T11:55:51Z
date_published: 2011-01-21T00:00:00Z
date_updated: 2021-11-16T08:05:46Z
day: '21'
doi: 10.1007/s00028-010-0096-5
extern: '1'
intvolume: ' 11'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1005.0998
month: '01'
oa: 1
oa_version: None
page: 405 - 427
publication: Journal of Evolution Equations
publication_status: published
publisher: Birkhäuser
publist_id: '4911'
related_material:
link:
- relation: erratum
url: https://doi.org/10.1007/s00028-012-0173-z
status: public
title: A Trotter product formula for gradient flows in metric spaces
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 11
year: '2011'
...
---
_id: '2126'
abstract:
- lang: eng
text: |
Let K be an irreducible and reversible Markov kernel on a finite set X. We construct a metric W on the set of probability measures on X and show that with respect to this metric, the law of the continuous time Markov chain evolves as the gradient flow of the entropy. This result is a discrete counterpart of the Wasserstein gradient flow interpretation of the heat flow in Rn by Jordan, Kinderlehrer and Otto (1998). The metric W is similar to, but different from, the L2-Wasserstein metric, and is defined via a discrete variant of the Benamou–Brenier formula.
acknowledgement: Supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation
for Scientific Research (NWO)
author:
- first_name: Jan
full_name: Jan Maas
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
citation:
ama: Maas J. Gradient flows of the entropy for finite Markov chains. Journal
of Functional Analysis. 2011;261(8):2250-2292. doi:10.1016/j.jfa.2011.06.009
apa: Maas, J. (2011). Gradient flows of the entropy for finite Markov chains. Journal
of Functional Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2011.06.009
chicago: Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal
of Functional Analysis. Academic Press, 2011. https://doi.org/10.1016/j.jfa.2011.06.009 .
ieee: J. Maas, “Gradient flows of the entropy for finite Markov chains,” Journal
of Functional Analysis, vol. 261, no. 8. Academic Press, pp. 2250–2292, 2011.
ista: Maas J. 2011. Gradient flows of the entropy for finite Markov chains. Journal
of Functional Analysis. 261(8), 2250–2292.
mla: Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal
of Functional Analysis, vol. 261, no. 8, Academic Press, 2011, pp. 2250–92,
doi:10.1016/j.jfa.2011.06.009
.
short: J. Maas, Journal of Functional Analysis 261 (2011) 2250–2292.
date_created: 2018-12-11T11:55:51Z
date_published: 2011-03-04T00:00:00Z
date_updated: 2021-01-12T06:55:28Z
day: '04'
doi: '10.1016/j.jfa.2011.06.009 '
extern: 1
intvolume: ' 261'
issue: '8'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1102.5238
month: '03'
oa: 1
page: 2250 - 2292
publication: Journal of Functional Analysis
publication_status: published
publisher: Academic Press
publist_id: '4909'
quality_controlled: 0
status: public
title: Gradient flows of the entropy for finite Markov chains
type: journal_article
volume: 261
year: '2011'
...
---
_id: '2138'
abstract:
- lang: eng
text: A (diatomic) shape resonance is a metastable state of a pair of colliding
atoms quasi-bound by the centrifugal barrier imposed by the angular momentum involved
in the collision. The temporary trapping of the atoms' scattering wavefunction
corresponds to an enhanced atom pair density at low interatomic separations. This
leads to larger overlap of the wavefunctions involved in a molecule formation
process such as photoassociation, rendering the process more efficient. However,
for an ensemble of atoms, the atom pair density will only be enhanced if the energy
of the resonance comes close to the temperature of the atomic ensemble. Herein
we explore the possibility of controlling the energy of a shape resonance by shifting
it toward the temperature of atoms confined in a trap. The shifts are imparted
by the interaction of non-resonant light with the anisotropic polarizability of
the atom pair, which affects both the centrifugal barrier and the pair's rotational
and vibrational levels. We find that at laser intensities of up to 5×109 W/cm2
the pair density is increased by one order of magnitude for 87Rb atoms at 100μK
and by two orders of magnitude for 88Sr atoms at 20μK.
acknowledgement: Financial support from the Deutsche Forschungsgemeinschaft (Grant
No. KO 2301/2), by the Spanish project FIS2008-02380 (MICINN) as well as the Grants
FQM-2445 and FQM-4643 (Junta de Andaluc´ıa), Campus de Excelencia Internacional
Proyecto GENIL CEB09-0010
author:
- first_name: Ruzin
full_name: Ağanoğlu, Ruzin
last_name: Ağanoğlu
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
- first_name: Rosario
full_name: González-Férez, Rosario
last_name: González Férez
- first_name: Christiane
full_name: Koch, Christiane P
last_name: Koch
citation:
ama: Ağanoğlu R, Lemeshko M, Friedrich B, González Férez R, Koch C. Controlling
a diatomic shape resonance with non-resonant light. Unknown. 2011.
apa: Ağanoğlu, R., Lemeshko, M., Friedrich, B., González Férez, R., & Koch,
C. (2011). Controlling a diatomic shape resonance with non-resonant light. Unknown.
ArXiv.
chicago: Ağanoğlu, Ruzin, Mikhail Lemeshko, Břetislav Friedrich, Rosario González
Férez, and Christiane Koch. “Controlling a Diatomic Shape Resonance with Non-Resonant
Light.” Unknown. ArXiv, 2011.
ieee: R. Ağanoğlu, M. Lemeshko, B. Friedrich, R. González Férez, and C. Koch, “Controlling
a diatomic shape resonance with non-resonant light,” Unknown. ArXiv, 2011.
ista: Ağanoğlu R, Lemeshko M, Friedrich B, González Férez R, Koch C. 2011. Controlling
a diatomic shape resonance with non-resonant light. Unknown, .
mla: Ağanoğlu, Ruzin, et al. “Controlling a Diatomic Shape Resonance with Non-Resonant
Light.” Unknown, ArXiv, 2011.
short: R. Ağanoğlu, M. Lemeshko, B. Friedrich, R. González Férez, C. Koch, Unknown
(2011).
date_created: 2018-12-11T11:55:55Z
date_published: 2011-05-04T00:00:00Z
date_updated: 2021-01-12T06:55:32Z
day: '04'
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1105.0761
month: '05'
oa: 1
publication: Unknown
publication_status: published
publisher: ArXiv
publist_id: '4886'
quality_controlled: 0
status: public
title: Controlling a diatomic shape resonance with non-resonant light
type: preprint
year: '2011'
...
---
_id: '2198'
abstract:
- lang: eng
text: We show that dressing polar molecules with a far-off-resonant optical field
leads to new types of intermolecular potentials, which undergo a crossover from
the inverse power to oscillating behavior depending on the intermolecular distance,
and whose parameters can be tuned by varying the laser intensity and wavelength.
We present analytic expressions for the potential energy surfaces, thereby providing
direct access to the parameters of an optical field required to design intermolecular
interactions experimentally.
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
citation:
ama: Lemeshko M. Shaping interactions between polar molecules with far-off-resonant
light. Physical Review A - Atomic, Molecular, and Optical Physics. 2011;83(5).
doi:10.1103/PhysRevA.83.051402
apa: Lemeshko, M. (2011). Shaping interactions between polar molecules with far-off-resonant
light. Physical Review A - Atomic, Molecular, and Optical Physics. American
Physical Society. https://doi.org/10.1103/PhysRevA.83.051402
chicago: Lemeshko, Mikhail. “Shaping Interactions between Polar Molecules with Far-off-Resonant
Light.” Physical Review A - Atomic, Molecular, and Optical Physics. American
Physical Society, 2011. https://doi.org/10.1103/PhysRevA.83.051402.
ieee: M. Lemeshko, “Shaping interactions between polar molecules with far-off-resonant
light,” Physical Review A - Atomic, Molecular, and Optical Physics, vol.
83, no. 5. American Physical Society, 2011.
ista: Lemeshko M. 2011. Shaping interactions between polar molecules with far-off-resonant
light. Physical Review A - Atomic, Molecular, and Optical Physics. 83(5).
mla: Lemeshko, Mikhail. “Shaping Interactions between Polar Molecules with Far-off-Resonant
Light.” Physical Review A - Atomic, Molecular, and Optical Physics, vol.
83, no. 5, American Physical Society, 2011, doi:10.1103/PhysRevA.83.051402.
short: M. Lemeshko, Physical Review A - Atomic, Molecular, and Optical Physics 83
(2011).
date_created: 2018-12-11T11:56:17Z
date_published: 2011-05-27T00:00:00Z
date_updated: 2021-01-12T06:55:55Z
day: '27'
doi: 10.1103/PhysRevA.83.051402
extern: 1
intvolume: ' 83'
issue: '5'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.1046
month: '05'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4775'
quality_controlled: 0
status: public
title: Shaping interactions between polar molecules with far-off-resonant light
type: journal_article
volume: 83
year: '2011'
...
---
_id: '2199'
abstract:
- lang: eng
text: By invoking supersymmetry, we found a condition under which the Stark-effect
problem for a polar and polarizable molecule subject to nonresonant electric fields
becomes exactly solvable for the family of stretched states. The analytic expressions
for the wave function and eigenenergy and other expectation values allow one to
readily reverse-engineer the problem of finding the values of the interaction
parameters required for creating quantum states with preordained characteristics.
The method also allows the construction of families of isospectral potentials,
realizable with combined fields.
acknowledgement: 'ARO '
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Mustafa
full_name: Mustafa, Mustafa K
last_name: Mustafa
- first_name: Sabre
full_name: Kais, Sabre
last_name: Kais
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: Lemeshko M, Mustafa M, Kais S, Friedrich B. Supersymmetric factorization yields
exact solutions to the molecular Stark-effect problem for "stretched"
states. Physical Review A - Atomic, Molecular, and Optical Physics. 2011;83(4).
doi:10.1103/PhysRevA.83.043415
apa: Lemeshko, M., Mustafa, M., Kais, S., & Friedrich, B. (2011). Supersymmetric
factorization yields exact solutions to the molecular Stark-effect problem for
"stretched" states. Physical Review A - Atomic, Molecular,
and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.83.043415
chicago: Lemeshko, Mikhail, Mustafa Mustafa, Sabre Kais, and Břetislav Friedrich.
“Supersymmetric Factorization Yields Exact Solutions to the Molecular Stark-Effect
Problem for "Stretched" States.” Physical Review A - Atomic,
Molecular, and Optical Physics. American Physical Society, 2011. https://doi.org/10.1103/PhysRevA.83.043415.
ieee: M. Lemeshko, M. Mustafa, S. Kais, and B. Friedrich, “Supersymmetric factorization
yields exact solutions to the molecular Stark-effect problem for "stretched"
states,” Physical Review A - Atomic, Molecular, and Optical Physics, vol.
83, no. 4. American Physical Society, 2011.
ista: Lemeshko M, Mustafa M, Kais S, Friedrich B. 2011. Supersymmetric factorization
yields exact solutions to the molecular Stark-effect problem for "stretched"
states. Physical Review A - Atomic, Molecular, and Optical Physics. 83(4).
mla: Lemeshko, Mikhail, et al. “Supersymmetric Factorization Yields Exact Solutions
to the Molecular Stark-Effect Problem for "Stretched" States.”
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no.
4, American Physical Society, 2011, doi:10.1103/PhysRevA.83.043415.
short: M. Lemeshko, M. Mustafa, S. Kais, B. Friedrich, Physical Review A - Atomic,
Molecular, and Optical Physics 83 (2011).
date_created: 2018-12-11T11:56:17Z
date_published: 2011-04-25T00:00:00Z
date_updated: 2021-01-12T06:55:56Z
day: '25'
doi: 10.1103/PhysRevA.83.043415
extern: 1
intvolume: ' 83'
issue: '4'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1105.5262
month: '04'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4776'
quality_controlled: 0
status: public
title: Supersymmetric factorization yields exact solutions to the molecular Stark-effect
problem for "stretched" states
type: journal_article
volume: 83
year: '2011'
...
---
_id: '2200'
abstract:
- lang: eng
text: We made use of supersymmetric (SUSY) quantum mechanics to find the condition
under which the Stark effect problem for a polar and polarizable closed-shell
diatomic molecule subjected to collinear electrostatic and nonresonant radiative
fields becomes exactly solvable. The condition Δω = ω2/4(m+1)2 connects values
of the dimensionless parameters ω and Δω that characterize the strengths of the
permanent and induced dipole interactions of the molecule with the respective
fields. The exact solutions are obtained for the \J̃ = m, m; ω, Δω) family of
'stretched' states. The field-free and strong-field limits of the combined-fields
problem were found to exhibit supersymmetry and shape invariance, which is indeed
the reason why they are analytically solvable. By making use of the analytic form
of the \J̃ = m,m; ω, Δω) wavefunctions, we obtained simple formulae for the expectation
values of the space-fixed electric dipole moment, the alignment cosine and the
angular momentum squared, and derived a 'sum rule' that combines the above expectation
values into a formula for the eigenenergy. The analytic expressions for the characteristics
of the strongly oriented and aligned states provide direct access to the values
of the interaction parameters required for creating such states in the laboratory.
acknowledgement: SK thanks the ARO for financial support
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Mustafa
full_name: Mustafa, Mustafa K
last_name: Mustafa
- first_name: Sabre
full_name: Kais, Sabre
last_name: Kais
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: Lemeshko M, Mustafa M, Kais S, Friedrich B. Supersymmetry identifies molecular
Stark states whose eigenproperties can be obtained analytically. New Journal
of Physics. 2011;13. doi:10.1088/1367-2630/13/6/063036
apa: Lemeshko, M., Mustafa, M., Kais, S., & Friedrich, B. (2011). Supersymmetry
identifies molecular Stark states whose eigenproperties can be obtained analytically.
New Journal of Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/13/6/063036
chicago: Lemeshko, Mikhail, Mustafa Mustafa, Sabre Kais, and Břetislav Friedrich.
“Supersymmetry Identifies Molecular Stark States Whose Eigenproperties Can Be
Obtained Analytically.” New Journal of Physics. IOP Publishing Ltd., 2011.
https://doi.org/10.1088/1367-2630/13/6/063036.
ieee: M. Lemeshko, M. Mustafa, S. Kais, and B. Friedrich, “Supersymmetry identifies
molecular Stark states whose eigenproperties can be obtained analytically,” New
Journal of Physics, vol. 13. IOP Publishing Ltd., 2011.
ista: Lemeshko M, Mustafa M, Kais S, Friedrich B. 2011. Supersymmetry identifies
molecular Stark states whose eigenproperties can be obtained analytically. New
Journal of Physics. 13.
mla: Lemeshko, Mikhail, et al. “Supersymmetry Identifies Molecular Stark States
Whose Eigenproperties Can Be Obtained Analytically.” New Journal of Physics,
vol. 13, IOP Publishing Ltd., 2011, doi:10.1088/1367-2630/13/6/063036.
short: M. Lemeshko, M. Mustafa, S. Kais, B. Friedrich, New Journal of Physics 13
(2011).
date_created: 2018-12-11T11:56:17Z
date_published: 2011-06-20T00:00:00Z
date_updated: 2021-01-12T06:55:57Z
day: '20'
doi: 10.1088/1367-2630/13/6/063036
extern: 1
intvolume: ' 13'
main_file_link:
- open_access: '1'
url: 'http://arxiv.org/abs/1106.4402 '
month: '06'
oa: 1
publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4774'
quality_controlled: 0
status: public
title: Supersymmetry identifies molecular Stark states whose eigenproperties can be
obtained analytically
type: journal_article
volume: 13
year: '2011'
...
---
_id: '2312'
abstract:
- lang: eng
text: Soon, the genetic basis of most human Mendelian diseases will be solved. The
next challenge will be to leverage this information to uncover basic mechanisms
of disease and develop new therapies. To understand how this transformation is
already beginning to unfold, we focus on the ciliopathies, a class of multi-organ
diseases caused by disruption of the primary cilium. Through a convergence of
data involving mutant gene discovery, proteomics, and cell biology, more than
a dozen phenotypically distinguishable conditions are now united as ciliopathies.
Sitting at the interface between simple and complex genetic conditions, these
diseases provide clues to the future direction of human genetics.
author:
- first_name: Gaia
full_name: Gaia Novarino
id: 3E57A680-F248-11E8-B48F-1D18A9856A87
last_name: Novarino
orcid: 0000-0002-7673-7178
- first_name: Naiara
full_name: Akizu, Naiara
last_name: Akizu
- first_name: Joseph
full_name: Gleeson, Joseph G
last_name: Gleeson
citation:
ama: 'Novarino G, Akizu N, Gleeson J. Modeling human disease in humans: The ciliopathies.
Cell. 2011;147(1):70-79. doi:10.1016/j.cell.2011.09.014'
apa: 'Novarino, G., Akizu, N., & Gleeson, J. (2011). Modeling human disease
in humans: The ciliopathies. Cell. Cell Press. https://doi.org/10.1016/j.cell.2011.09.014'
chicago: 'Novarino, Gaia, Naiara Akizu, and Joseph Gleeson. “Modeling Human Disease
in Humans: The Ciliopathies.” Cell. Cell Press, 2011. https://doi.org/10.1016/j.cell.2011.09.014.'
ieee: 'G. Novarino, N. Akizu, and J. Gleeson, “Modeling human disease in humans:
The ciliopathies,” Cell, vol. 147, no. 1. Cell Press, pp. 70–79, 2011.'
ista: 'Novarino G, Akizu N, Gleeson J. 2011. Modeling human disease in humans: The
ciliopathies. Cell. 147(1), 70–79.'
mla: 'Novarino, Gaia, et al. “Modeling Human Disease in Humans: The Ciliopathies.”
Cell, vol. 147, no. 1, Cell Press, 2011, pp. 70–79, doi:10.1016/j.cell.2011.09.014.'
short: G. Novarino, N. Akizu, J. Gleeson, Cell 147 (2011) 70–79.
date_created: 2018-12-11T11:56:55Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2019-04-26T07:22:10Z
day: '01'
doi: 10.1016/j.cell.2011.09.014
extern: 1
intvolume: ' 147'
issue: '1'
month: '01'
page: 70 - 79
publication: Cell
publication_status: published
publisher: Cell Press
publist_id: '4615'
quality_controlled: 0
status: public
title: 'Modeling human disease in humans: The ciliopathies'
type: review
volume: 147
year: '2011'
...
---
_id: '2320'
abstract:
- lang: eng
text: The binding of polarons, or its absence, is an old and subtle topic. After
defining the model we state some recent theorems of ours. First, the transition
from many-body collapse to the existence of a thermodynamic limit for N polarons
occurs precisely at U = 2α, where U is the electronic Coulomb repulsion and α
is the polaron coupling constant. Second, if U is large enough, there is no multi-polaron
binding of any kind. We also discuss the Pekar-Tomasevich approximation to the
ground state energy, which is valid for large α. Finally, we derive exact results,
not reported before, about the one-dimensional toy model introduced by E. P. Gross.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Lawrence
full_name: Thomas, Lawrence E
last_name: Thomas
citation:
ama: 'Frank R, Lieb É, Seiringer R, Thomas L. Binding, stability, and non-binding
of multi-polaron systems. In: World Scientific Publishing; 2011:21-32. doi:10.1142/9789814350365_0002'
apa: 'Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Binding, stability,
and non-binding of multi-polaron systems (pp. 21–32). Presented at the QMath:
Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789814350365_0002'
chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding,
Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific
Publishing, 2011. https://doi.org/10.1142/9789814350365_0002.
ieee: 'R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Binding, stability, and
non-binding of multi-polaron systems,” presented at the QMath: Mathematical Results
in Quantum Physics, 2011, pp. 21–32.'
ista: 'Frank R, Lieb É, Seiringer R, Thomas L. 2011. Binding, stability, and non-binding
of multi-polaron systems. QMath: Mathematical Results in Quantum Physics, 21–32.'
mla: Frank, Rupert, et al. Binding, Stability, and Non-Binding of Multi-Polaron
Systems. World Scientific Publishing, 2011, pp. 21–32, doi:10.1142/9789814350365_0002.
short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing,
2011, pp. 21–32.
conference:
name: 'QMath: Mathematical Results in Quantum Physics'
date_created: 2018-12-11T11:56:58Z
date_published: 2011-05-26T00:00:00Z
date_updated: 2021-01-12T06:56:45Z
day: '26'
doi: 10.1142/9789814350365_0002
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1010.0737
month: '05'
oa: 1
page: 21 - 32
publication_status: published
publisher: World Scientific Publishing
publist_id: '4607'
quality_controlled: 0
status: public
title: Binding, stability, and non-binding of multi-polaron systems
type: conference
year: '2011'
...
---
_id: '2321'
abstract:
- lang: eng
text: We derive a sharp bound on the location of non-positive eigenvalues of Schrödinger
operators on the half-line with complex-valued potentials.
alternative_title:
- 'Operator Theory: Advances and Applications'
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Ari
full_name: Laptev, Ari
last_name: Laptev
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Frank R, Laptev A, Seiringer R. A sharp bound on eigenvalues of Schrödinger
operators on the halfline with complex-valued potentials. In: Vol 214. Springer;
2011:39-44. doi:10.1007/978-3-7643-9994-8_3'
apa: 'Frank, R., Laptev, A., & Seiringer, R. (2011). A sharp bound on eigenvalues
of Schrödinger operators on the halfline with complex-valued potentials (Vol.
214, pp. 39–44). Presented at the OTAMP: Operator Theory, Analysis and Mathematical
Physics, Springer. https://doi.org/10.1007/978-3-7643-9994-8_3'
chicago: Frank, Rupert, Ari Laptev, and Robert Seiringer. “ A Sharp Bound on Eigenvalues
of Schrödinger Operators on the Halfline with Complex-Valued Potentials,” 214:39–44.
Springer, 2011. https://doi.org/10.1007/978-3-7643-9994-8_3.
ieee: 'R. Frank, A. Laptev, and R. Seiringer, “ A sharp bound on eigenvalues of
Schrödinger operators on the halfline with complex-valued potentials,” presented
at the OTAMP: Operator Theory, Analysis and Mathematical Physics, 2011, vol. 214,
pp. 39–44.'
ista: 'Frank R, Laptev A, Seiringer R. 2011. A sharp bound on eigenvalues of Schrödinger
operators on the halfline with complex-valued potentials. OTAMP: Operator Theory,
Analysis and Mathematical Physics, Operator Theory: Advances and Applications,
vol. 214, 39–44.'
mla: Frank, Rupert, et al. A Sharp Bound on Eigenvalues of Schrödinger Operators
on the Halfline with Complex-Valued Potentials. Vol. 214, Springer, 2011,
pp. 39–44, doi:10.1007/978-3-7643-9994-8_3.
short: R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
conference:
name: 'OTAMP: Operator Theory, Analysis and Mathematical Physics'
date_created: 2018-12-11T11:56:59Z
date_published: 2011-03-31T00:00:00Z
date_updated: 2021-01-12T06:56:46Z
day: '31'
doi: 10.1007/978-3-7643-9994-8_3
extern: 1
intvolume: ' 214'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0903.2053
month: '03'
oa: 1
page: 39 - 44
publication_status: published
publisher: Springer
publist_id: '4606'
quality_controlled: 0
status: public
title: ' A sharp bound on eigenvalues of Schrödinger operators on the halfline with
complex-valued potentials'
type: conference
volume: 214
year: '2011'
...
---
_id: '233'
abstract:
- lang: eng
text: 'For an irreducible polynomial in at most two variables the problem of representing
power-free integers is investigated. '
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Browning TD. Power-free values of polynomials. Archiv der Mathematik.
2011;96(2):139-150. doi:10.1007/s00013-011-0224-7
apa: Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik.
Birkhäuser. https://doi.org/10.1007/s00013-011-0224-7
chicago: Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der
Mathematik. Birkhäuser, 2011. https://doi.org/10.1007/s00013-011-0224-7.
ieee: T. D. Browning, “Power-free values of polynomials,” Archiv der Mathematik,
vol. 96, no. 2. Birkhäuser, pp. 139–150, 2011.
ista: Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik.
96(2), 139–150.
mla: Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der Mathematik,
vol. 96, no. 2, Birkhäuser, 2011, pp. 139–50, doi:10.1007/s00013-011-0224-7.
short: T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150.
date_created: 2018-12-11T11:45:21Z
date_published: 2011-02-19T00:00:00Z
date_updated: 2021-01-12T06:56:49Z
day: '19'
doi: 10.1007/s00013-011-0224-7
extern: 1
intvolume: ' 96'
issue: '2'
month: '02'
page: 139 - 150
publication: Archiv der Mathematik
publication_status: published
publisher: Birkhäuser
publist_id: '7670'
quality_controlled: 0
status: public
title: Power-free values of polynomials
type: journal_article
volume: 96
year: '2011'
...
---
_id: '234'
abstract:
- lang: eng
text: We investigate the average order of the divisor function at values of binary
cubic forms that are reducible over Q and discuss some applications.
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Browning TD. The divisor problem for binary cubic forms. Journal de Theorie
des Nombres de Bordeaux. 2011;23(3):579-602. doi:10.5802/jtnb.778
apa: Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal
de Theorie Des Nombres de Bordeaux. Universite de Bordeaux. https://doi.org/10.5802/jtnb.778
chicago: Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal
de Theorie Des Nombres de Bordeaux. Universite de Bordeaux, 2011. https://doi.org/10.5802/jtnb.778.
ieee: T. D. Browning, “The divisor problem for binary cubic forms,” Journal de
Theorie des Nombres de Bordeaux, vol. 23, no. 3. Universite de Bordeaux, pp.
579–602, 2011.
ista: Browning TD. 2011. The divisor problem for binary cubic forms. Journal de
Theorie des Nombres de Bordeaux. 23(3), 579–602.
mla: Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal
de Theorie Des Nombres de Bordeaux, vol. 23, no. 3, Universite de Bordeaux,
2011, pp. 579–602, doi:10.5802/jtnb.778.
short: T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 23 (2011) 579–602.
date_created: 2018-12-11T11:45:21Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:53Z
day: '01'
doi: 10.5802/jtnb.778
extern: 1
intvolume: ' 23'
issue: '3'
month: '01'
page: 579 - 602
publication: Journal de Theorie des Nombres de Bordeaux
publication_status: published
publisher: Universite de Bordeaux
publist_id: '7671'
quality_controlled: 0
status: public
title: The divisor problem for binary cubic forms
type: journal_article
volume: 23
year: '2011'
...
---
_id: '235'
abstract:
- lang: eng
text: For given positive integers m and n, we consider the frequency of representations
of m/n as a sum of unit fractions.
article_processing_charge: No
article_type: original
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Christian
full_name: Elsholtz, Christian
last_name: Elsholtz
citation:
ama: Browning TD, Elsholtz C. The number of representations of rationals as a sum
of unit fractions. Illinois Journal of Mathematics. 2011;55(2):685-696.
apa: Browning, T. D., & Elsholtz, C. (2011). The number of representations of
rationals as a sum of unit fractions. Illinois Journal of Mathematics.
University of Illinois Press.
chicago: Browning, Timothy D, and Christian Elsholtz. “The Number of Representations
of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics.
University of Illinois Press, 2011.
ieee: T. D. Browning and C. Elsholtz, “The number of representations of rationals
as a sum of unit fractions,” Illinois Journal of Mathematics, vol. 55,
no. 2. University of Illinois Press, pp. 685–696, 2011.
ista: Browning TD, Elsholtz C. 2011. The number of representations of rationals
as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696.
mla: Browning, Timothy D., and Christian Elsholtz. “The Number of Representations
of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics,
vol. 55, no. 2, University of Illinois Press, 2011, pp. 685–96.
short: T.D. Browning, C. Elsholtz, Illinois Journal of Mathematics 55 (2011) 685–696.
date_created: 2018-12-11T11:45:21Z
date_published: 2011-07-01T00:00:00Z
date_updated: 2021-01-12T06:56:57Z
day: '01'
extern: '1'
intvolume: ' 55'
issue: '2'
language:
- iso: eng
month: '07'
oa_version: None
page: 685 - 696
publication: Illinois Journal of Mathematics
publication_status: published
publisher: University of Illinois Press
publist_id: '7669'
quality_controlled: '1'
status: public
title: The number of representations of rationals as a sum of unit fractions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2011'
...
---
_id: '236'
abstract:
- lang: eng
text: An asymptotic formula is established for the number of Q-rational points of
bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle
structure.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Régis
full_name: de la Bretèche, Régis
last_name: De La Bretèche
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: De La Bretèche R, Browning TD. Manin’s conjecture for quartic Del Pezzo surfaces
with a conic fibration. Duke Mathematical Journal. 2011;160(1):1-69. doi:10.1215/00127094-1443466
apa: De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic
Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. Duke
University Press. https://doi.org/10.1215/00127094-1443466
chicago: De La Bretèche, Régis, and Timothy D Browning. “Manin’s Conjecture for
Quartic Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal.
Duke University Press, 2011. https://doi.org/10.1215/00127094-1443466.
ieee: R. De La Bretèche and T. D. Browning, “Manin’s conjecture for quartic Del
Pezzo surfaces with a conic fibration,” Duke Mathematical Journal, vol.
160, no. 1. Duke University Press, pp. 1–69, 2011.
ista: De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo
surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.
mla: De La Bretèche, Régis, and Timothy D. Browning. “Manin’s Conjecture for Quartic
Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal,
vol. 160, no. 1, Duke University Press, 2011, pp. 1–69, doi:10.1215/00127094-1443466.
short: R. De La Bretèche, T.D. Browning, Duke Mathematical Journal 160 (2011) 1–69.
date_created: 2018-12-11T11:45:21Z
date_published: 2011-09-27T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '27'
doi: 10.1215/00127094-1443466
extern: 1
intvolume: ' 160'
issue: '1'
month: '09'
page: 1 - 69
publication: Duke Mathematical Journal
publication_status: published
publisher: Duke University Press
publist_id: '7668'
quality_controlled: 0
status: public
title: Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration
type: journal_article
volume: 160
year: '2011'
...
---
_id: '239'
abstract:
- lang: eng
text: An effective search bound is established for the least non-trivial integer
zero of an arbitrary cubic form C ε ℤ[X 1,...,X n], provided that n ≥ 17.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Rainer
full_name: Dietmann, Rainer
last_name: Dietmann
- first_name: Peter
full_name: Elliott, Peter
last_name: Elliott
citation:
ama: Browning TD, Dietmann R, Elliott P. Least zero of a cubic form. Mathematische
Annalen. 2011;352(3):745-778. doi:10.1007/s00208-011-0651-6
apa: Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic
form. Mathematische Annalen. Springer. https://doi.org/10.1007/s00208-011-0651-6
chicago: Browning, Timothy D, Rainer Dietmann, and Peter Elliott. “Least Zero of
a Cubic Form.” Mathematische Annalen. Springer, 2011. https://doi.org/10.1007/s00208-011-0651-6.
ieee: T. D. Browning, R. Dietmann, and P. Elliott, “Least zero of a cubic form,”
Mathematische Annalen, vol. 352, no. 3. Springer, pp. 745–778, 2011.
ista: Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische
Annalen. 352(3), 745–778.
mla: Browning, Timothy D., et al. “Least Zero of a Cubic Form.” Mathematische
Annalen, vol. 352, no. 3, Springer, 2011, pp. 745–78, doi:10.1007/s00208-011-0651-6.
short: T.D. Browning, R. Dietmann, P. Elliott, Mathematische Annalen 352 (2011)
745–778.
date_created: 2018-12-11T11:45:22Z
date_published: 2011-03-06T00:00:00Z
date_updated: 2021-01-12T06:57:11Z
day: '06'
doi: 10.1007/s00208-011-0651-6
extern: 1
intvolume: ' 352'
issue: '3'
month: '03'
page: 745 - 778
publication: Mathematische Annalen
publication_status: published
publisher: Springer
publist_id: '7665'
quality_controlled: 0
status: public
title: Least zero of a cubic form
type: journal_article
volume: 352
year: '2011'
...
---
_id: '2390'
abstract:
- lang: eng
text: 'We resolve several longstanding problems concerning the stability and the
absence of multi-particle binding for N≥2 polarons. Fröhlich''s 1937 polaron model
describes non-relativistic particles interacting with a scalar quantized field
with coupling √α, and with each other by Coulomb repulsion of strength U. We prove
the following: (i) While there is a known thermodynamic instability for U<2α,
stability of matter does hold for U>2α, that is, the ground state energy per
particle has a finite limit as N→∞. (ii) There is no binding of any kind if U
exceeds a critical value that depends on α but not on N. The same results are
shown to hold for the Pekar-Tomasevich model.'
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Lawrence
full_name: Thomas, Lawrence E
last_name: Thomas
citation:
ama: Frank R, Lieb É, Seiringer R, Thomas L. Stability and absence of binding for
multi-polaron systems. Publications Mathematiques de l Institut des Hautes
Etudes Scientifiques. 2011;113(1):39-67. doi:10.1007/s10240-011-0031-5
apa: Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Stability and
absence of binding for multi-polaron systems. Publications Mathematiques de
l Institut Des Hautes Etudes Scientifiques. Springer. https://doi.org/10.1007/s10240-011-0031-5
chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability
and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques
de l Institut Des Hautes Etudes Scientifiques. Springer, 2011. https://doi.org/10.1007/s10240-011-0031-5.
ieee: R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Stability and absence of
binding for multi-polaron systems,” Publications Mathematiques de l Institut
des Hautes Etudes Scientifiques, vol. 113, no. 1. Springer, pp. 39–67, 2011.
ista: Frank R, Lieb É, Seiringer R, Thomas L. 2011. Stability and absence of binding
for multi-polaron systems. Publications Mathematiques de l Institut des Hautes
Etudes Scientifiques. 113(1), 39–67.
mla: Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.”
Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques,
vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5.
short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de
l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
date_created: 2018-12-11T11:57:23Z
date_published: 2011-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:12Z
day: '01'
doi: 10.1007/s10240-011-0031-5
extern: 1
intvolume: ' 113'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1004.4892
month: '06'
oa: 1
page: 39 - 67
publication: Publications Mathematiques de l Institut des Hautes Etudes Scientifiques
publication_status: published
publisher: Springer
publist_id: '4534'
quality_controlled: 0
status: public
title: Stability and absence of binding for multi-polaron systems
type: journal_article
volume: 113
year: '2011'
...
---
_id: '2391'
abstract:
- lang: eng
text: The change in energy of an ideal Fermi gas when a local one-body potential
is inserted into the system, or when the density is changed locally, are important
quantities in condensed matter physics. We show that they can be rigorously bounded
from below by a universal constant times the value given by the semiclassical
approximation.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lewin M, Lieb É, Seiringer R. Energy cost to make a hole in the fermi
sea. Physical Review Letters. 2011;106(15). doi:10.1103/PhysRevLett.106.150402
apa: Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2011). Energy cost to
make a hole in the fermi sea. Physical Review Letters. American Physical
Society. https://doi.org/10.1103/PhysRevLett.106.150402
chicago: Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy
Cost to Make a Hole in the Fermi Sea.” Physical Review Letters. American
Physical Society, 2011. https://doi.org/10.1103/PhysRevLett.106.150402.
ieee: R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Energy cost to make a hole
in the fermi sea,” Physical Review Letters, vol. 106, no. 15. American
Physical Society, 2011.
ista: Frank R, Lewin M, Lieb É, Seiringer R. 2011. Energy cost to make a hole in
the fermi sea. Physical Review Letters. 106(15).
mla: Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical
Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402.
short: R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
date_created: 2018-12-11T11:57:24Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:12Z
day: '01'
doi: 10.1103/PhysRevLett.106.150402
extern: 1
intvolume: ' 106'
issue: '15'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1102.1414
month: '01'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4535'
quality_controlled: 0
status: public
title: Energy cost to make a hole in the fermi sea
type: journal_article
volume: 106
year: '2011'
...
---
_id: '2393'
abstract:
- lang: eng
text: We investigate the low energy excitation spectrum of a Bose gas with weak,
long range repulsive interactions. In particular, we prove that the Bogoliubov
spectrum of elementary excitations with linear dispersion relation for small momentum
becomes exact in the mean-field limit.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. The excitation spectrum for weakly interacting Bosons. Communications
in Mathematical Physics. 2011;306(2):565-578. doi:10.1007/s00220-011-1261-6
apa: Seiringer, R. (2011). The excitation spectrum for weakly interacting Bosons.
Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-011-1261-6
chicago: Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.”
Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1261-6.
ieee: R. Seiringer, “The excitation spectrum for weakly interacting Bosons,” Communications
in Mathematical Physics, vol. 306, no. 2. Springer, pp. 565–578, 2011.
ista: Seiringer R. 2011. The excitation spectrum for weakly interacting Bosons.
Communications in Mathematical Physics. 306(2), 565–578.
mla: Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.”
Communications in Mathematical Physics, vol. 306, no. 2, Springer, 2011,
pp. 565–78, doi:10.1007/s00220-011-1261-6.
short: R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
date_created: 2018-12-11T11:57:24Z
date_published: 2011-09-01T00:00:00Z
date_updated: 2021-01-12T06:57:13Z
day: '01'
doi: 10.1007/s00220-011-1261-6
extern: 1
intvolume: ' 306'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1008.5349
month: '09'
oa: 1
page: 565 - 578
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4533'
quality_controlled: 0
status: public
title: The excitation spectrum for weakly interacting Bosons
type: journal_article
volume: 306
year: '2011'
...