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Mathematical Physics papers — page 229

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On Low Rank Fusion Rings
We present a method to generate all fusion rings of a specific rank and multiplicity. This method was used to generate exhaustive lists of fusion rings up to order 9 for several multiplicities. We…
Gert Vercleyen, Joost SlingerlandMay 31, 2022
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Topological states and continuum model for swarmalators without force reciprocity
Swarmalators are systems of agents which are both self-propelled particles and oscillators. Each particle is endowed with a phase which modulates its interaction force with the other particles. In…
Pierre Degond, Antoine Diez, Adam WalczakMay 31, 2022
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The Bose gas in a box with Neumann boundary conditions
We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound on the condensate…
Chiara Boccato, Robert SeiringerMay 30, 2022
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Green functions and completeness; the 3-body problem revisited
Within the class of Derezi\'nski-Enss pair-potentials which includes Coulomb potentials a stationary scattering theory for N-body systems was recently developed Sk1. In particular the…
Erik SkibstedMay 30, 2022
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A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels
We characterize Fredholm determinants of a class of Hankel composition operators via matrix-valued Riemann-Hilbert problems, for additive and multiplicative compositions. The scalar-valued kernels of…
Thomas BothnerMay 30, 2022
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Lie symmetry classification and qualitative analysis for the fourth-order Schrödinger equation
The Lie symmetry analysis for the study of a 1+n~fourth-order Schrödinger equation inspired by the modification of the deformation algebra in the presence of a minimum length is applied.…
A. Paliathanasis, G. Leon, P. G. L. LeachMay 30, 2022
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Magnetisation moment of a bounded 3D sample: asymptotic recovery from planar measurements on a large disk
Inverse magnetisation problem consists in inferring information about a magnetic source from measurements of its magnetic field. Unlike a general magnetisation distribution, the total magnetisation…
Dmitry PonomarevMay 29, 2022
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Singular Points and Singular Curves in von Kármán Elastic Surfaces
Mechanical fields over thin elastic surfaces can develop singularities at isolated points and curves in response to constrained deformations (e.g., crumpling and folding of paper), singular body…
Animesh Pandey, Anurag GuptaMay 29, 2022
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Lagrangian-Hamiltonian formalism for time-dependent dissipative mechanical systems
In this paper we present a unified Lagrangian--Hamiltonian geometric formalism to describe time-dependent contact mechanical systems, based on the one first introduced by K. Kamimura and later…
Xavier Rivas, Daniel TorresMay 29, 2022
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Some Consequences of the Distributional Stress Equilibrium Condition
We derive two consequences of the distributional form of the stress equilibrium condition while incorporating piecewise smooth stress and body force fields with singular concentrations on an…
Animesh Pandey, Anurag GuptaMay 29, 2022
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Symmetries and conservation laws for the generalized n-dimensional Ermakov system
We revise recent results on the classification of the generalized three-dimensional Hamiltonian Ermakov system. We show that a statement published recently is incorrect, while the solution for the…
Andronikos Paliathanasis, Genly Leon, P. G. L. LeachMay 29, 2022
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Modified Lévy Laplacian on manifold and Yang-Mills instantons
An infinite dimensional Laplacian defined as the Cesáro mean of the second order directional derivatives on manifold is considered. This Laplacian is parameterized by the choice of a curve in the…
Boris O. VolkovMay 28, 2022
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Integrable Differential Systems for Deformed Laguerre-Hahn Orthogonal Polynomials
Our work studies sequences of orthogonal polynomials \Pn(x)\n=0∞ of the Laguerre-Hahn class, whose Stieltjes functions satisfy a Riccati type differential equation with polynomial…
Maria das Neves Rebocho, Nicholas S. WitteMay 27, 2022
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The Derived Pure Spinor Formalism as an Equivalence of Categories
We construct a derived generalization of the pure spinor superfield formalism and prove that it exhibits an equivalence of dg-categories between multiplets for a supertranslation algebra and…
Chris Elliott, Fabian Hahner, Ingmar SaberiMay 27, 2022
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Strong radiation condition bounds
We construct solutions to the eikonal equation for a class of long-range potentials, derive strong radiation condition bounds for the corresponding Schr\"odinger operator and apply them to construct…
K. Ito, E. SkibstedMay 27, 2022
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Basis-free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras
In this paper, we discuss characteristic polynomials in (Clifford) geometric algebras Gp,q of vector space of dimension n=p+q. We present basis-free formulas for all…
K. S. Abdulkhaev, D. S. ShirokovMay 26, 2022
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Scattering Theory in Quantum Mechanical Problems
The aim of the lecture is to briefly describe the mathematical background of scattering theory for two- and three-particle quantum systems. We discuss basic objects of the theory: wave and scattering…
Dmitri YafaevMay 26, 2022
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A Categorical View on the Principle of Relativity
Category theory plays a special character in mathematics - it unifies distinct branches under the same formalism. Despite this integrative power in math, it also seems to provide the proper…
L. M. Gaio, B. F. RizzutiMay 25, 2022
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A theory of quantum (statistical) measurement
We propose a theory of quantum (statistical) measurement which is close, in spirit, to Hepp's theory, which is centered on the concepts of decoherence and macroscopic (classical) observables, and…
Walter F. WreszinskiMay 25, 2022
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Double tangent method for two-periodic Aztec diamonds
We use the octahedron recurrence, which generalizes the quadratic recurrence found by Kuo for standard Aztec diamonds, in order to compute boundary one-refined and two-refined partition functions for…
Philippe RuelleMay 25, 2022
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Measurement incompatibility vs. Bell non-locality: an approach via tensor norms
Measurement incompatibility and quantum non-locality are two key features of quantum theory. Violations of Bell inequalities require quantum entanglement and incompatibility of the measurements used…
Faedi Loulidi, Ion NechitaMay 25, 2022
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On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields
We consider the Dirichlet Laplacian with uniform magnetic field on a curved strip in two dimensions. We give a sufficient condition ensuring the existence of the discrete spectrum in the strong…
Enguerrand Bon-Lavigne, Loïc Le Treust, Nicolas Raymond et al.May 25, 2022
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The excitation spectrum of two dimensional Bose gases in the Gross-Pitaevskii regime
We consider a system of N bosons, in the two-dimensional unit torus. We assume particles to interact through a repulsive two-body potential, with a scattering length that is exponentially small in…
Cristina Caraci, Serena Cenatiempo, Benjamin SchleinMay 24, 2022
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Complete solution of the LSZ Model via Topological Recursion
We prove that the Langmann-Szabo-Zarembo (LSZ) model with quartic potential, a toy model for a quantum field theory on noncommutative spaces grasped as a complex matrix model, obeys topological…
Johannes Branahl, Alexander HockMay 24, 2022
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Stability of Majorana Edge Zero Modes against Interactions
We study an interacting Majorana chain with an open boundary condition. In the case without interactions, the system shows a prototypical Majorana edge zero mode in the sector of the ground state…
Tohru KomaMay 23, 2022
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