---
_id: '14931'
abstract:
- lang: eng
text: We prove an upper bound on the ground state energy of the dilute spin-polarized
Fermi gas capturing the leading correction to the kinetic energy resulting from
repulsive interactions. One of the main ingredients in the proof is a rigorous
implementation of the fermionic cluster expansion of Gaudin et al. (1971) [15].
acknowledgement: A.B.L. would like to thank Johannes Agerskov and Jan Philip Solovej
for valuable discussions. We thank Alessandro Giuliani for helpful discussions and
for pointing out the reference [18]. Funding from the European Union's Horizon 2020
research and innovation programme under the ERC grant agreement No 694227 is acknowledged.
Financial support by the Austrian Science Fund (FWF) through project number I 6427-N
(as part of the SFB/TRR 352) is gratefully acknowledged.
article_number: '110320'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Lauritsen AB, Seiringer R. Ground state energy of the dilute spin-polarized
Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis.
2024;286(7). doi:10.1016/j.jfa.2024.110320'
apa: 'Lauritsen, A. B., & Seiringer, R. (2024). Ground state energy of the dilute
spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional
Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110320'
chicago: 'Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy
of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal
of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110320.'
ieee: 'A. B. Lauritsen and R. Seiringer, “Ground state energy of the dilute spin-polarized
Fermi gas: Upper bound via cluster expansion,” Journal of Functional Analysis,
vol. 286, no. 7. Elsevier, 2024.'
ista: 'Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized
Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis.
286(7), 110320.'
mla: 'Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of
the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal
of Functional Analysis, vol. 286, no. 7, 110320, Elsevier, 2024, doi:10.1016/j.jfa.2024.110320.'
short: A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
date_created: 2024-02-04T23:00:53Z
date_published: 2024-01-24T00:00:00Z
date_updated: 2024-02-05T12:53:21Z
day: '24'
department:
- _id: RoSe
doi: 10.1016/j.jfa.2024.110320
ec_funded: 1
external_id:
arxiv:
- '2301.04894'
intvolume: ' 286'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1016/j.jfa.2024.110320
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Journal of Functional Analysis
publication_identifier:
eissn:
- 1096--0783
issn:
- 0022-1236
publication_status: epub_ahead
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via
cluster expansion'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 286
year: '2024'
...
---
_id: '14542'
abstract:
- lang: eng
text: "It is a remarkable property of BCS theory that the ratio of the energy gap
at zero temperature Ξ\r\n and the critical temperature Tc is (approximately) given
by a universal constant, independent of the microscopic details of the fermionic
interaction. This universality has rigorously been proven quite recently in three
spatial dimensions and three different limiting regimes: weak coupling, low density
and high density. The goal of this short note is to extend the universal behavior
to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit."
acknowledgement: We thank Robert Seiringer for comments on the paper. J. H. gratefully
acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond”No.
101020331.This research was funded in part by the Austrian Science Fund (FWF) grantnumber
I6427.
article_number: '2360005 '
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
citation:
ama: Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory.
Reviews in Mathematical Physics. 2023. doi:10.1142/s0129055x2360005x
apa: Henheik, S. J., Lauritsen, A. B., & Roos, B. (2023). Universality in low-dimensional
BCS theory. Reviews in Mathematical Physics. World Scientific Publishing.
https://doi.org/10.1142/s0129055x2360005x
chicago: Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality
in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics. World
Scientific Publishing, 2023. https://doi.org/10.1142/s0129055x2360005x.
ieee: S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional
BCS theory,” Reviews in Mathematical Physics. World Scientific Publishing,
2023.
ista: Henheik SJ, Lauritsen AB, Roos B. 2023. Universality in low-dimensional BCS
theory. Reviews in Mathematical Physics., 2360005.
mla: Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.”
Reviews in Mathematical Physics, 2360005, World Scientific Publishing,
2023, doi:10.1142/s0129055x2360005x.
short: S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).
date_created: 2023-11-15T23:48:14Z
date_published: 2023-10-31T00:00:00Z
date_updated: 2023-11-20T10:04:38Z
day: '31'
department:
- _id: GradSch
- _id: LaEr
- _id: RoSe
doi: 10.1142/s0129055x2360005x
ec_funded: 1
external_id:
arxiv:
- '2301.05621'
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
url: https://doi.org/10.1142/S0129055X2360005X
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Reviews in Mathematical Physics
publication_identifier:
eissn:
- 1793-6659
issn:
- 0129-055X
publication_status: epub_ahead
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Universality in low-dimensional BCS theory
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12869'
abstract:
- lang: eng
text: 'We introduce a stochastic cellular automaton as a model for culture and border
formation. The model can be conceptualized as a game where the expansion rate
of cultures is quantified in terms of their area and perimeter in such a way that
approximately round cultures get a competitive advantage. We first analyse the
model with periodic boundary conditions, where we study how the model can end
up in a fixed state, i.e. freezes. Then we implement the model on the European
geography with mountains and rivers. We see how the model reproduces some qualitative
features of European culture formation, namely that rivers and mountains are more
frequently borders between cultures, mountainous regions tend to have higher cultural
diversity and the central European plain has less clear cultural borders. '
acknowledgement: 'FRK acknowledges support from the Villum Foundation for support
through the QMATH center of Excellence (Grant No. 10059) and the Villum Young Investigator
(Grant No. 25452) programs. '
article_processing_charge: No
author:
- first_name: Frederik Ravn
full_name: Klausen, Frederik Ravn
last_name: Klausen
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: 'Klausen FR, Lauritsen AB. Research data for: A stochastic cellular automaton
model of culture formation. 2023. doi:10.15479/AT:ISTA:12869'
apa: 'Klausen, F. R., & Lauritsen, A. B. (2023). Research data for: A stochastic
cellular automaton model of culture formation. Institute of Science and Technology
Austria. https://doi.org/10.15479/AT:ISTA:12869'
chicago: 'Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. “Research Data
for: A Stochastic Cellular Automaton Model of Culture Formation.” Institute of
Science and Technology Austria, 2023. https://doi.org/10.15479/AT:ISTA:12869.'
ieee: 'F. R. Klausen and A. B. Lauritsen, “Research data for: A stochastic cellular
automaton model of culture formation.” Institute of Science and Technology Austria,
2023.'
ista: 'Klausen FR, Lauritsen AB. 2023. Research data for: A stochastic cellular
automaton model of culture formation, Institute of Science and Technology Austria,
10.15479/AT:ISTA:12869.'
mla: 'Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. Research Data for:
A Stochastic Cellular Automaton Model of Culture Formation. Institute of Science
and Technology Austria, 2023, doi:10.15479/AT:ISTA:12869.'
short: F.R. Klausen, A.B. Lauritsen, (2023).
date_created: 2023-04-26T12:34:49Z
date_published: 2023-04-26T00:00:00Z
date_updated: 2023-11-13T07:47:29Z
day: '26'
ddc:
- '000'
department:
- _id: GradSch
- _id: RoSe
doi: 10.15479/AT:ISTA:12869
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oa: 1
oa_version: Published Version
publisher: Institute of Science and Technology Austria
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relation: used_in_publication
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status: public
title: 'Research data for: A stochastic cellular automaton model of culture formation'
tmp:
image: /images/cc_0.png
legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
name: Creative Commons Public Domain Dedication (CC0 1.0)
short: CC0 (1.0)
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12890'
abstract:
- lang: eng
text: We introduce a stochastic cellular automaton as a model for culture and border
formation. The model can be conceptualized as a game where the expansion rate
of cultures is quantified in terms of their area and perimeter in such a way that
approximately geometrically round cultures get a competitive advantage. We first
analyze the model with periodic boundary conditions, where we study how the model
can end up in a fixed state, i.e., freezes. Then we implement the model on the
European geography with mountains and rivers. We see how the model reproduces
some qualitative features of European culture formation, namely, that rivers and
mountains are more frequently borders between cultures, mountainous regions tend
to have higher cultural diversity, and the central European plain has less clear
cultural borders.
acknowledgement: Thanks to Kim Sneppen, Svend Krøjer, Peter Wildemann, Peter Rasmussen
and Kent Bækgaard Lauritsen for discussions and suggestions. FRK acknowledges support
from the Villum Foundation for support through the QMATH center of Excellence (Grant
No. 10059) and the Villum Young Investigator (Grant No. 25452) programs.
article_number: '054307'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Frederik Ravn
full_name: Klausen, Frederik Ravn
last_name: Klausen
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Klausen FR, Lauritsen AB. Stochastic cellular automaton model of culture formation.
Physical Review E. 2023;108(5). doi:10.1103/PhysRevE.108.054307
apa: Klausen, F. R., & Lauritsen, A. B. (2023). Stochastic cellular automaton
model of culture formation. Physical Review E. American Physical Society.
https://doi.org/10.1103/PhysRevE.108.054307
chicago: Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. “Stochastic Cellular
Automaton Model of Culture Formation.” Physical Review E. American Physical
Society, 2023. https://doi.org/10.1103/PhysRevE.108.054307.
ieee: F. R. Klausen and A. B. Lauritsen, “Stochastic cellular automaton model of
culture formation,” Physical Review E, vol. 108, no. 5. American Physical
Society, 2023.
ista: Klausen FR, Lauritsen AB. 2023. Stochastic cellular automaton model of culture
formation. Physical Review E. 108(5), 054307.
mla: Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. “Stochastic Cellular
Automaton Model of Culture Formation.” Physical Review E, vol. 108, no.
5, 054307, American Physical Society, 2023, doi:10.1103/PhysRevE.108.054307.
short: F.R. Klausen, A.B. Lauritsen, Physical Review E 108 (2023).
date_created: 2023-05-04T08:35:01Z
date_published: 2023-11-08T00:00:00Z
date_updated: 2023-11-13T07:47:30Z
day: '08'
department:
- _id: GradSch
- _id: RoSe
doi: 10.1103/PhysRevE.108.054307
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- '2305.02153'
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issue: '5'
language:
- iso: eng
main_file_link:
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url: https://doi.org/10.48550/arXiv.2305.02153
month: '11'
oa: 1
oa_version: Preprint
publication: Physical Review E
publication_identifier:
eissn:
- 2470-0053
issn:
- 2470-0045
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/FrederikRavnKlausen/model-for-culture-formation
record:
- id: '12869'
relation: research_data
status: public
scopus_import: '1'
status: public
title: Stochastic cellular automaton model of culture formation
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 108
year: '2023'
...
---
_id: '11732'
abstract:
- lang: eng
text: We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic
formula, which strongly depends on the strength of the interaction potential V
on the Fermi surface. In combination with the recent result by one of us (Math.
Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities,
we prove the universality of the ratio of the energy gap and the critical temperature.
acknowledgement: "We are grateful to Robert Seiringer for helpful discussions and
many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges
partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open
access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of
Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9
apa: Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density.
Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9
chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap
at High Density.” Journal of Statistical Physics. Springer Nature, 2022.
https://doi.org/10.1007/s10955-022-02965-9.
ieee: S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal
of Statistical Physics, vol. 189. Springer Nature, 2022.
ista: Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal
of Statistical Physics. 189, 5.
mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at
High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature,
2022, doi:10.1007/s10955-022-02965-9.
short: S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
date_created: 2022-08-05T11:36:56Z
date_published: 2022-07-29T00:00:00Z
date_updated: 2023-09-05T14:57:49Z
day: '29'
ddc:
- '530'
department:
- _id: GradSch
- _id: LaEr
- _id: RoSe
doi: 10.1007/s10955-022-02965-9
ec_funded: 1
external_id:
isi:
- '000833007200002'
file:
- access_level: open_access
checksum: b398c4dbf65f71d417981d6e366427e9
content_type: application/pdf
creator: dernst
date_created: 2022-08-08T07:36:34Z
date_updated: 2022-08-08T07:36:34Z
file_id: '11746'
file_name: 2022_JourStatisticalPhysics_Henheik.pdf
file_size: 419563
relation: main_file
success: 1
file_date_updated: 2022-08-08T07:36:34Z
has_accepted_license: '1'
intvolume: ' 189'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The BCS energy gap at high density
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 189
year: '2022'
...
---
_id: '9121'
abstract:
- lang: eng
text: "We show that the energy gap for the BCS gap equation is\r\nΞ=μ(8e−2+o(1))exp(π2μ−−√a)\r\nin
the low density limit μ→0. Together with the similar result for the critical temperature
by Hainzl and Seiringer (Lett Math Phys 84: 99–107, 2008), this shows that, in
the low density limit, the ratio of the energy gap and critical temperature is
a universal constant independent of the interaction potential V. The results hold
for a class of potentials with negative scattering length a and no bound states."
acknowledgement: "Most of this work was done as part of the author’s master’s thesis.
The author would like to thank Jan Philip Solovej for his supervision of this process.\r\nOpen
Access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '20'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Lauritsen AB. The BCS energy gap at low density. Letters in Mathematical
Physics. 2021;111. doi:10.1007/s11005-021-01358-5
apa: Lauritsen, A. B. (2021). The BCS energy gap at low density. Letters in Mathematical
Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01358-5
chicago: Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” Letters
in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01358-5.
ieee: A. B. Lauritsen, “The BCS energy gap at low density,” Letters in Mathematical
Physics, vol. 111. Springer Nature, 2021.
ista: Lauritsen AB. 2021. The BCS energy gap at low density. Letters in Mathematical
Physics. 111, 20.
mla: Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” Letters
in Mathematical Physics, vol. 111, 20, Springer Nature, 2021, doi:10.1007/s11005-021-01358-5.
short: A.B. Lauritsen, Letters in Mathematical Physics 111 (2021).
date_created: 2021-02-15T09:27:14Z
date_published: 2021-02-12T00:00:00Z
date_updated: 2023-09-05T15:17:16Z
day: '12'
ddc:
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doi: 10.1007/s11005-021-01358-5
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- Statistical and Nonlinear Physics
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- iso: eng
month: '02'
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- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
eissn:
- 1573-0530
issn:
- 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: The BCS energy gap at low density
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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...
---
_id: '9891'
abstract:
- lang: eng
text: 'Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127
(2019)], we present a modified “floating crystal” trial state for jellium (also
known as the classical homogeneous electron gas) with density equal to a characteristic
function. This allows us to show that three definitions of the jellium energy
coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache
[“Equality of the Jellium and uniform electron gas next-order asymptotic terms
for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb,
and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide
in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized
energy” studied in a series of papers by Serfaty and others, and thus, by the
work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate
the jellium energy to the order n term in the logarithmic energy of n points on
the unit 2-sphere. We improve upon known lower bounds for this renormalized energy.
Additionally, we derive formulas for the jellium energy of periodic configurations.'
acknowledgement: The author would like to thank Robert Seiringer for guidance and
many helpful comments on this project. The author would also like to thank Mathieu
Lewin for his comments on the manuscript and Lorenzo Portinale for providing his
lecture notes for the course “Mathematics of quantum many-body systems” in spring
2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these
lecture notes.
article_number: '083305'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Lauritsen AB. Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. 2021;62(8). doi:10.1063/5.0053494
apa: Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0053494
chicago: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
Configurations.” Journal of Mathematical Physics. AIP Publishing, 2021.
https://doi.org/10.1063/5.0053494.
ieee: A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,”
Journal of Mathematical Physics, vol. 62, no. 8. AIP Publishing, 2021.
ista: Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. 62(8), 083305.
mla: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
Configurations.” Journal of Mathematical Physics, vol. 62, no. 8, 083305,
AIP Publishing, 2021, doi:10.1063/5.0053494.
short: A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).
date_created: 2021-08-12T07:08:36Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2023-08-11T10:29:48Z
day: '01'
ddc:
- '530'
department:
- _id: GradSch
- _id: RoSe
doi: 10.1063/5.0053494
external_id:
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- '2103.07975'
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- '000683960800003'
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keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication: Journal of Mathematical Physics
publication_identifier:
eissn:
- 1089-7658
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publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
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status: public
title: Floating Wigner crystal and periodic jellium configurations
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image: /images/cc_by.png
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type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
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...