Asymptotic expansion of the hard-to-soft edge transitionBy showing that the symmetrically transformed Bessel kernel admits a full asymptotic expansion for large parameter, we establish a hard-to-soft edge transition expansion. This resolves a conjecture…Luming Yao, Lun Zhang·Sep 13, 2023SaveLearn
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transformWe study the problem of the integral geometry, in which the functions are integrated over hyperplanes in the n-dimensional Euclidean space, n=2m+1. The integrand is the product of a function of…D. S. Anikonov, S. G. Kazantsev, D. S. Konovalova·Sep 12, 2023SaveLearn
On the complex solution of the Schr\"odinger equation with exponential potentialsWe study the analytical solutions of the Schr\"odinger equation with a repulsive exponential potential λ e- r, and that with an exponential wall λ er, both with λ > 0. We…Javier Garcia·Sep 12, 2023SaveLearn
Non-constant ground configurations in the disordered ferromagnetThe disordered ferromagnet is a disordered version of the ferromagnetic Ising model in which the coupling constants are non-negative quenched random. A ground configuration is an infinite-volume…Michal Bassan, Shoni Gilboa, Ron Peled·Sep 12, 2023SaveLearn
Construction of envelopes of holomorphy and QFTMethods of continuation of holomorphic functions of several complex variables are investigated within the axiomatic framework of Araki, Haag, and Kastler in local quantum field theory. The motivation…Ulrich Armbrüster·Sep 12, 2023SaveLearn
Limited regularity of a specific electronic reduced density matrix for moleculesWe consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electronic collisions, we…Thierry Jecko, Camille Noûs·Sep 12, 2023SaveLearn
Baxter Q-operators in Ruijsenaars-Sutherland hyperbolic systems: one- and two-particle casesIn these notes we review the technique of Baxter Q-operators in the Ruijsenaars-Sutherland hyperbolic systems in the cases of one and two particles. Using these operators we show in particular that…N. Belousov, S. Derkachov, S. Kharchev et al.·Sep 12, 2023SaveLearn
Unusual isospectral factorizations of shape invariant Hamiltonians with Scarf II potentialIn this paper, we search the factorizations of the shape invariant Hamiltonians with Scarf II potential. We find two classes; one of them is the standard real factorization which leads us to a real…Yiğit Can Acar, Lorena Acevedo, Şengül Kuru·Sep 12, 2023SaveLearn
Singularity theory of Weyl-point creation and annihilationWeyl points (WP) are robust spectral degeneracies, which can not be split by small perturbations, as they are protected by their non-zero topological charge. For larger perturbations, WPs can…György Frank, Gergő Pintér, András Pályi·Sep 11, 2023SaveLearn
Asymptotic Behaviour of Semigroup Traces and Schatten Classes of ResolventsMotivated by examples from physics and noncommutative geometry, given a generator A of a Gibbs semigroup, we reexamine the relationship between the Schatten class of its resolvents and the…Bruno Iochum, Valentin A. Zagrebnov·Sep 11, 2023SaveLearn
Cosmic strings in a generalized linear formulation of gauge field theoryIn this note we construct self-dual cosmic strings from a gauge field theory with a generalized linear formation of potential energy density. By integrating the Einstein equation, we obtain a…Lei Cao, Shouxin Chen·Sep 11, 2023SaveLearn
Dynamics on a submanifold: intermediate formalism versus Hamiltonian reduction of Dirac bracket, and integrabilityWe consider Hamiltonian formulation of a dynamical system forced to move on a submanifold Gα(qA)=0. If for some reasons we are interested in knowing the dynamics of all original variables…Alexei A. Deriglazov·Sep 10, 2023SaveLearn
Thermodynamic Limits of Electronic SystemsWe review thermodynamic limits and scaling limits of electronic structure models for condensed matter. We discuss several mathematical ways to implement these limits in three models of increasing…David Gontier, Jianfeng Lu, Christoph Ortner·Sep 10, 2023SaveLearn
Approximate Lie symmetries and singular perturbation theorySingular perturbation theory plays a central role in the approximate solution of nonlinear differential equations. However, applying these methods is a subtle art owing to the lack of globally…Alexander J. Dear, L. Mahadevan·Sep 10, 2023SaveLearn
Dual of the Hopf Algebra Consisting of the Adjacency MatricesIn this article we discuss the Hopf algebras spanned by the adjacency matrices in detail. We show that there two Hopf algebraic structures concerning the adjacency matrices, one is the copy of…Zhou Mai·Sep 10, 2023SaveLearn
On polynomial symmetry algebras underlying superintegrable systems in Darboux spacesWe review three different approaches to polynomial symmetry algebras underlying superintegrable systems in Darboux spaces. The first method consists of using deformed oscillator algebra to obtain…Ian Marquette, Junze Zhang, Yao-Zhong Zhang·Sep 10, 2023SaveLearn
On real hyperelliptic solutions of focusing modified KdV equationWe study the real hyperelliptic solutions of the focusing modified KdV (MKdV) equation of the genus three. Since the complex hyperelliptic solutions of the focusing MKdV equation over C…Shigeki Matsutani·Sep 10, 2023SaveLearn
Some Applications of Surface Curvatures in Theoretical PhysicsIn this survey article, we present two applications of surface curvatures in theoretical physics. The first application arises from biophysics in the study of the shape of cell vesicles involving the…Yisong Yang·Sep 9, 2023SaveLearn
On the effective dynamics of Bose-Fermi mixturesIn this work, we describe the dynamics of a Bose-Einstein condensate interacting with a degenerate Fermi gas, at zero temperature. First, we analyze the mean-field approximation of the many-body…Esteban Cárdenas, Joseph K. Miller, Nataša Pavlović·Sep 8, 2023SaveLearn
MFO Report: The dry ten Martini problem for Sturmian dynamical systemsThis extended Oberwolfach report (to appear in the proceedings of the MFO Workshop 2335: Aspects of Aperiodic Order) announces the full solution to the Dry Ten Martini Problem for Sturmian…Ram Band, Siegfried Beckus, Raphael Loewy·Sep 8, 2023SaveLearn
The basic resolvents of position and momentum operators form a total set in the resolvent algebraLet Q and P be the position and momentum operators of a particle in one dimension. It is shown that all compact operators can be approximated in norm by linear combinations of the basic resolvents…Detlev Buchholz, Teun D. H. van Nuland·Sep 8, 2023SaveLearn
On the Well-posedness and Stability of Cubic and Quintic Nonlinear Schrödinger Systems on T3In this paper, we study cubic and quintic nonlinear Schrödinger systems on 3-dimensional tori, with initial data in an adapted Hilbert space Hsλ, and all of our results hold on…Thomas Chen, Amie Urban·Sep 8, 2023SaveLearn
Formal derivation of an inversion formula for the approximation of interface defects by means of active thermographyThermal properties of a two-layered composite conductor are modified in case the interface is damaged. The present paper deals with nondestructive evaluation of perturbations of interface thermal…Gabriele Inglese, Raffaele Inglese·Sep 7, 2023SaveLearn
Classification of Killing Magnetic Curves In H3In this paper, we study classification of magnetic curves corresponding to Killing vector fields of H3 (hyperbolic 3-space). First, we solve the geodesic equation analytically. Then we calculate the…Özgür Kelekçi, Furkan Semih Dündar, Gülhan Ayar·Sep 7, 2023SaveLearn
On the integrable structure of deformed sine kernel determinantsWe study a family of Fredholm determinants associated to deformations of the sine kernel, parametrized by a weight function w. For a specific choice of w, this kernel describes bulk statistics of…Tom Claeys, Sofia Tarricone·Sep 7, 2023SaveLearn