Cauchy relations in linear elasticity: Algebraic and physics aspectsThe Cauchy relations distinguish between rari- and multi-constant linear elasticity theories. These relations are treated in this paper in a form that is invariant under two groups of…Yakov Itin·Apr 19, 2023SaveLearn
A numerical study of two-point correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limitIn Bain [J. Math. Phys. 64, 023301 (2023)], we found asymptotics of one-point correlation functions of the two-periodic weighted Aztec diamond in the mesoscopic limit, where the linear size of the…Emily Bain·Apr 19, 2023SaveLearn
The conditional DPP approach to random matrix distributionsWe present the conditional determinantal point process (DPP) approach to obtain new (mostly Fredholm determinantal) expressions for various eigenvalue statistics in random matrix theory. It is…Alan Edelman, Sungwoo Jeong·Apr 18, 2023SaveLearn
D2= H+1/4 with point interactionsLet D and H be the self-adjoint, one-dimensional Dirac and Schr\"odinger operators in L2(R;C2) and L2(R;C) respectively. It is…A. Posilicano, L. Reginato·Apr 18, 2023SaveLearn
Zeta limits for the spectrum of quantum Rabi modelsThe quantum Rabi model (QRM), one of the fundamental models used to describe light and matter interaction, has a deep mathematical structure revealed by the study of its spectrum. In this paper, from…Cid Reyes-Bustos, Masato Wakayama·Apr 18, 2023SaveLearn
Exact solutions and superposition rules for Hamiltonian systems generalizing time-dependent SIS epidemic models with stochastic fluctuationsUsing the theory of Lie-Hamilton systems, formal generalized time-dependent Hamiltonian systems that enlarge a recently proposed SIS epidemic model with a variable infection rate are considered. It…Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz·Apr 18, 2023SaveLearn
Rogue wave formation scenarios for the focusing nonlinear Schr\"odinger equation with parabolic-profile initial data on a compact supportWe study the (1+1) focussing nonlinear Schr\"odinger equation for an initial condition with compactly-supported parabolic profile and phase depending quadratically on the spatial coordinate. In the…F. Demontis, G. Ortenzi, G. Roberti et al.·Apr 17, 2023SaveLearn
The hard-core model on Z3 and Kepler's conjectureWe study the hard-core model of statistical mechanics on a unit cubic lattice Z3, which is intrinsically related to the sphere-packing problem for spheres with centers in Z3.…A. Mazel, I. Stuhl, Y. Suhov·Apr 17, 2023SaveLearn
Thermal Spacetime, Part I: Relativistic Bohmian MechanicsPositive-energy solutions of the Klein-Gordon equation form a Hilbert space of holomorphic functions on the future tube. This domain is interpreted as an extended phase space for the associated…Gerald Kaiser·Apr 17, 2023SaveLearn
Noncommutative Geometry and Gauge theories on AF algebrasNon-commutative geometry (NCG) is a mathematical discipline developed in the 1990s by Alain Connes. It is presented as a new generalization of usual geometry, both encompassing and going beyond the…Gaston Nieuviarts·Apr 17, 2023SaveLearn
A Review on Octupolar TensorsIn its most restrictive definition, an octupolar tensor is a fully symmetric traceless third-rank tensor in three space dimensions. So great a body of works have been devoted to this specific class…Giuseppe Gaeta, Epifanio G. Virga·Apr 17, 2023SaveLearn
Discrete symplectic fermions on double dimers and their Virasoro representationA discrete version of the Conformal Field Theory of symplectic fermions is introduced and discussed. Specifically, discrete symplectic fermions are realised as holomorphic observables in the…David Adame-Carrillo·Apr 17, 2023SaveLearn
Bi-orthogonal spinors associated to T -pseudo-Hermitian Rashba Hamiltonian : Time reversal in Clifford Algebra Cl3(R) and Pseudo-SupersymmetryA non-Hermitian version of Rashba Hamiltonian has been introduced motivated from the Levy-leblond type linearisation of Schrodinger equation in a Galilean invariant frame-work. The said Hamiltonian…Arindam Chakraborty·Apr 17, 2023SaveLearn
Momentum map for the Maxwell-Lorentz equations with spinning particleWe develop the theory of momentum map for the Maxwell-Lorentz equations with spinning extended charged particle. This theory is indispensable for the study of long-time behaviour and radiation of the…Alexander Komech, Elena Kopylova·Apr 16, 2023SaveLearn
The reasonable effectiveness of mathematical deformation theory in physicsThis is a brief reminder, with extensions, from a different angle and for a less specialized audience, of my presentation at WGMP32 in July 2013, to which I refer for more details on the topics…Daniel Sternheimer·Apr 15, 2023SaveLearn
Topological recursion on transalgebraic spectral curves and Atlantes Hurwitz numbersGiven a spectral curve with exponential singularities (which we call a "transalgebraic spectral curve"), we extend the definition of topological recursion to include contributions from the…Vincent Bouchard, Reinier Kramer, Quinten Weller·Apr 14, 2023SaveLearn
Tensorial time derivatives on moving surfaces: General concepts and a specific application for surface Landau-de Gennes modelsObserver-invariance is regarded as a minimum requirement for an appropriate definition of time derivatives. We systematically discuss such time derivatives for surface tensor field and provide…Ingo Nitschke, Axel Voigt·Apr 14, 2023SaveLearn
A simple criterion for essential self-adjointness of Weyl pseudodifferential operatorsWe prove a new criterion for the essential self-adjointness of pseudodifferential operators that does not involve ellipticity-type assumptions. For example, we show that self-adjointness holds in…Robert Fulsche, Lauritz van Luijk·Apr 14, 2023SaveLearn
Flat bands of periodic graphsWe study flat bands of periodic graphs in a Euclidean space. These are infinitely degenerate eigenvalues of the corresponding adjacency matrix, with eigenvectors of compact support. We provide some…Mostafa Sabri, Pierre Youssef·Apr 13, 2023SaveLearn
The Lie algebra of the lowest transitively differential group of degree threeWe investigate the real Lie algebra of first-order differential operators with polynomial coefficients, which is subject to the following requirements. (1) The Lie algebra should admit a basis of…Alfred Michel Grundland, Ian Marquette·Apr 13, 2023SaveLearn
Construction of solutions of analogs of the Schrodinger time equations corresponding to the Hamiltonian system H2+2+1This paper continues a series of papers in which 2-by-2 matrix joint solutions of two scalar evolutionary equations are constructed, which are analogs of the Schrodinger time equations. These…V. A. Pavlenko·Apr 13, 2023SaveLearn
Resonances at the Threshold for Pauli Operators in Dimension TwoIt is well-known that, due to the interaction between the spin and the magnetic field, the two-dimensional Pauli operator has an eigenvalue 0 at the threshold of its essential spectrum. We show…Jonathan Breuer, Hynek Kovařík·Apr 13, 2023SaveLearn
The Cauchy problem for Boltzmann bi-linear systems: The mixing of monatomic and polyatomic gasesFrom a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space homogeneous Boltzmann bi-linear systems with…Ricardo J. Alonso, Irene M. Gamba, Milana Pavic-Colic·Apr 12, 2023SaveLearn
Rationally-extended Dunkl oscillator on the lineIt is shown that the extensions of exactly-solvable quantum mechanical problems connected with the replacement of ordinary derivatives by Dunkl ones and with that of classical orthogonal polynomials…C. Quesne·Apr 12, 2023SaveLearn
Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebrasThis, to a large extent, expository paper, describes the theory of multicomponent hierarchies of evolution equations of XKP type, where X=A, B, C or D, and AKP=KP, and their reductions, associated to…Victor Kac, Johan van de Leur·Apr 12, 2023SaveLearn