@article{2199, abstract = {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.}, author = {Mikhail Lemeshko and Mustafa, Mustafa K and Kais, Sabre and Friedrich, Břetislav}, journal = {Physical Review A - Atomic, Molecular, and Optical Physics}, number = {4}, publisher = {American Physical Society}, title = {{Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states}}, doi = {10.1103/PhysRevA.83.043415}, volume = {83}, year = {2011}, } @article{2200, abstract = {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.}, author = {Mikhail Lemeshko and Mustafa, Mustafa K and Kais, Sabre and Friedrich, Břetislav}, journal = {New Journal of Physics}, publisher = {IOP Publishing Ltd.}, title = {{Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically}}, doi = {10.1088/1367-2630/13/6/063036}, volume = {13}, year = {2011}, } @misc{2312, abstract = {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 = {Gaia Novarino and Akizu, Naiara and Gleeson, Joseph G}, booktitle = {Cell}, number = {1}, pages = {70 -- 79}, publisher = {Cell Press}, title = {{Modeling human disease in humans: The ciliopathies}}, doi = {10.1016/j.cell.2011.09.014}, volume = {147}, year = {2011}, } @inproceedings{2320, abstract = {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 = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Thomas, Lawrence E}, pages = {21 -- 32}, publisher = {World Scientific Publishing}, title = {{Binding, stability, and non-binding of multi-polaron systems}}, doi = {10.1142/9789814350365_0002}, year = {2011}, } @inproceedings{2321, abstract = {We derive a sharp bound on the location of non-positive eigenvalues of Schrödinger operators on the half-line with complex-valued potentials.}, author = {Frank, Rupert L and Laptev, Ari and Robert Seiringer}, pages = {39 -- 44}, publisher = {Springer}, title = {{ A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials}}, doi = {10.1007/978-3-7643-9994-8_3}, volume = {214}, year = {2011}, } @article{233, abstract = {For an irreducible polynomial in at most two variables the problem of representing power-free integers is investigated. }, author = {Timothy Browning}, journal = {Archiv der Mathematik}, number = {2}, pages = {139 -- 150}, publisher = {Birkhäuser}, title = {{Power-free values of polynomials}}, doi = {10.1007/s00013-011-0224-7}, volume = {96}, year = {2011}, } @article{234, abstract = {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 = {Timothy Browning}, journal = {Journal de Theorie des Nombres de Bordeaux}, number = {3}, pages = {579 -- 602}, publisher = {Universite de Bordeaux}, title = {{The divisor problem for binary cubic forms}}, doi = {10.5802/jtnb.778}, volume = {23}, year = {2011}, } @article{235, abstract = {For given positive integers m and n, we consider the frequency of representations of m/n as a sum of unit fractions.}, author = {Browning, Timothy D and Elsholtz, Christian}, journal = {Illinois Journal of Mathematics}, number = {2}, pages = {685 -- 696}, publisher = {University of Illinois Press}, title = {{The number of representations of rationals as a sum of unit fractions}}, volume = {55}, year = {2011}, } @article{236, abstract = {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.}, author = {de la Bretèche, Régis and Timothy Browning}, journal = {Duke Mathematical Journal}, number = {1}, pages = {1 -- 69}, publisher = {Duke University Press}, title = {{Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration}}, doi = {10.1215/00127094-1443466}, volume = {160}, year = {2011}, } @article{239, abstract = {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.}, author = {Timothy Browning and Dietmann, Rainer and Elliott, Peter}, journal = {Mathematische Annalen}, number = {3}, pages = {745 -- 778}, publisher = {Springer}, title = {{Least zero of a cubic form}}, doi = {10.1007/s00208-011-0651-6}, volume = {352}, year = {2011}, } @article{2390, abstract = {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 = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Thomas, Lawrence E}, journal = {Publications Mathematiques de l Institut des Hautes Etudes Scientifiques}, number = {1}, pages = {39 -- 67}, publisher = {Springer}, title = {{Stability and absence of binding for multi-polaron systems}}, doi = {10.1007/s10240-011-0031-5}, volume = {113}, year = {2011}, } @article{2391, abstract = {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 = {Frank, Rupert L and Lewin, Mathieu and Lieb, Élliott H and Robert Seiringer}, journal = {Physical Review Letters}, number = {15}, publisher = {American Physical Society}, title = {{Energy cost to make a hole in the fermi sea}}, doi = {10.1103/PhysRevLett.106.150402}, volume = {106}, year = {2011}, } @article{2393, abstract = {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 = {Robert Seiringer}, journal = {Communications in Mathematical Physics}, number = {2}, pages = {565 -- 578}, publisher = {Springer}, title = {{The excitation spectrum for weakly interacting Bosons}}, doi = {10.1007/s00220-011-1261-6}, volume = {306}, year = {2011}, } @article{6749, abstract = {This article refers to algorithms based on finite difference schemes for computing mean and affine curvature evolutions of digital images, introduced by Alvarez and Morel [L. Alvarez, J.M. Morel, “Formalization and computational aspects of image analysis”, Acta Numerica, pp. 159, 1994]. We discuss consistency, stability and convergence. Our analysis focuses on some possible choices of the parameters, choices that generate multiple variants in the implementations. Meaningful visual examples on how the algorithms actually work are provided.}, author = {Mondelli, Marco and Ciomaga, Adina}, issn = {2105-1232}, journal = {Image Processing On Line}, pages = {127--177}, publisher = {IPOL Image Processing On Line}, title = {{Finite difference schemes for MCM and AMSS}}, doi = {10.5201/ipol.2011.cm_fds}, volume = {1}, year = {2011}, } @inproceedings{6767, abstract = {In the present paper we give a thorough analysis of two finite difference schemes for the Mean Curvature Motion and its affine variant, the Affine Morphological Scale Space, schemes introduced in the Image Processing framework. This analysis brings in a series of parameters that allow us to compute an accurate discrete evolution of curvature motions. The choice of these parameters is based on intrinsic geometric properties of the evolution equations for linear, radial and elliptical functions. In the last part we present several examples, underlining the main advantages of the algorithms (the removal of pixelization effects and JPEG artifacts) as well as their major drawbacks (absence of contrast invariance and grid dependence). A detailed explanatory report, the ANSI C implementations and an on-line demo can be found at http://www.ipol.im/.}, author = {Mondelli, Marco and Ciomaga, Adina}, booktitle = {Proceedings of the International Student Conference on Pure and Applied Mathematics}, isbn = {978-973-703-602-5}, location = {Iasi, Romania}, pages = {137--156}, publisher = {Editura Universitãtii „Alexandru Ioan Cuza” Iasi}, title = {{On finite difference schemes for curvature motions}}, doi = {10.13140/2.1.1862.4646}, year = {2011}, } @article{7076, abstract = {Iron is a ubiquitous impurity in metamict (radiation-damaged and partially amorphized) materials such as titanite (CaSiTiO5). Using 57Fe Mössbauer spectroscopy we find that iron in metamict titanite is partitioned between amorphous and crystalline regions based on valence. Trivalent iron exists in the crystalline titanite matrix whereas divalent iron exists almost exclusively in radiation-amorphized regions. We find that the relative abundances of the oxidation states correlate with the volume fraction of amorphous and crystalline regions. Our data also show that oxidation of iron proceeds along with the recrystallization of the amorphized regions. Recrystallization is confirmed to occur over the range 700 °C < T < 925 °C, and no further structural changes are observed at higher temperatures. It is surprising that our Mössbauer measurements show divalent iron to be surrounded by titanite with a high degree of short-range structural order in the amorphized regions. This observation is fundamentally different from other metamict materials such as zircon (ZrSiO4), where amorphized regions show no short-range order.}, author = {Salje, E K H and Safarik, D J and Taylor, R D and Pasternak, M P and Modic, Kimberly A and Groat, L A and Lashley, J C}, issn = {0953-8984}, journal = {Journal of Physics: Condensed Matter}, number = {10}, publisher = {IOP Publishing}, title = {{Determination of iron sites and the amount of amorphization in radiation-damaged titanite (CaSiTiO5)}}, doi = {10.1088/0953-8984/23/10/105402}, volume = {23}, year = {2011}, } @article{7077, abstract = {Pb, Te, Ag and Se, when reacted in a 1:1:x:1 (x = 1.9, 2.0, 2.01) molar ratio, form a two phase composite which consists of a phase which crystallizes in the fcc cubic PbSe structure and a phase that crystallizes in the Ag2Te structure. In this article, we demonstrate that by varying the Ag concentration, we can manipulate which variant of the Ag2Te structure stabilizes at room temperature (monoclinic α-Ag2Te or cubic β-Ag1.9Te) and can consequently manipulate the electrical and thermal transport behavior of the composite and hence the thermoelectric performance. Additionally, we show that Cu-doping results in an overall improvement in thermoelectric performance. Our results suggest that formation of composites is a viable path for achieving a phonon-glass-electron-crystal (PGEC) alloy.}, author = {Capps, J. and Ma, B. and Drye, T. and Nucklos, C. and Lindsey, S. and Rhodes, D. and Zhang, Q. and Modic, Kimberly A and Cawthorne, S. and Drymiotis, F.}, issn = {0925-8388}, journal = {Journal of Alloys and Compounds}, number = {5}, pages = {1544--1549}, publisher = {Elsevier}, title = {{The effect of Ag concentration on the structural, electrical and thermal transport behavior of Pb:Te:Ag:Se mixtures and improvement of thermoelectric performance via Cu doping}}, doi = {10.1016/j.jallcom.2010.10.187}, volume = {509}, year = {2011}, } @article{7313, abstract = {Li-ion batteries have transformed portable electronics and will play a key role in the electrification of transport. However, the highest energy storage possible for Li-ion batteries is insufficient for the long-term needs of society, for example, extended-range electric vehicles. To go beyond the horizon of Li-ion batteries is a formidable challenge; there are few options. Here we consider two: Li–air (O2) and Li–S. The energy that can be stored in Li–air (based on aqueous or non-aqueous electrolytes) and Li–S cells is compared with Li-ion; the operation of the cells is discussed, as are the significant hurdles that will have to be overcome if such batteries are to succeed. Fundamental scientific advances in understanding the reactions occurring in the cells as well as new materials are key to overcoming these obstacles. The potential benefits of Li–air and Li–S justify the continued research effort that will be needed.}, author = {Bruce, Peter G. and Freunberger, Stefan Alexander and Hardwick, Laurence J. and Tarascon, Jean-Marie}, issn = {1476-1122}, journal = {Nature Materials}, number = {1}, pages = {19--29}, publisher = {Springer Nature}, title = {{Li–O2 and Li–S batteries with high energy storage}}, doi = {10.1038/nmat3191}, volume = {11}, year = {2011}, } @article{7314, abstract = {The electrolyte is one of the greatest challenges facing the development of the non‐aqueous Li–O2 battery. Although ether‐based electrolytes do from Li2O2 on the first discharge, it is shown by various techniques that they also decompose and that decomposition increases while Li2O2 decreases on cycling (see picture). Thus, these electrolytes are not suitable. }, author = {Freunberger, Stefan Alexander and Chen, Yuhui and Drewett, Nicholas E. and Hardwick, Laurence J. and Bardé, Fanny and Bruce, Peter G.}, issn = {1433-7851}, journal = {Angewandte Chemie International Edition}, number = {37}, pages = {8609--8613}, publisher = {Wiley}, title = {{The Lithium-Oxygen battery with ether-based electrolytes}}, doi = {10.1002/anie.201102357}, volume = {50}, year = {2011}, } @article{7315, abstract = {Spectroscopic data (see picture) provide direct evidence that in non‐aqueous Li+ electrolyte, O2 is reduced to O2−, which then forms LiO2 on the electrode surface which disproportionates to Li2O2. On charging, Li2O2 decomposes directly, in a one‐step reaction to evolve O2 and does not pass through LiO2 as an intermediate. }, author = {Peng, Zhangquan and Freunberger, Stefan Alexander and Hardwick, Laurence J. and Chen, Yuhui and Giordani, Vincent and Bardé, Fanny and Novák, Petr and Graham, Duncan and Tarascon, Jean-Marie and Bruce, Peter G.}, issn = {1433-7851}, journal = {Angewandte Chemie International Edition}, number = {28}, pages = {6351--6355}, publisher = {Wiley}, title = {{Oxygen reactions in a non-aqueous Li+ electrolyte}}, doi = {10.1002/anie.201100879}, volume = {50}, year = {2011}, }