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Mathematical Physics papers — page 152

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Deformation Quantization with Separation of Variables of G2,4(C)
We construct a deformation quantization with separation of variables of the Grassmannian G2,4(C). A star product on G2,4(C) can be explicitly determined as the solution of…
Taika Okuda, Akifumi SakoDec 31, 2023
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Tunneling estimates for two-dimensional perturbed magnetic Dirac systems
We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the decomposition $H =…
Esteban Cárdenas, Benjamín Pavez, Edgardo StockmeyerDec 30, 2023
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Gelfand Triplets, Continuous and Discrete Bases and Legendre Polynomials
We consider a basis of square integrable functions on a rectangle, contained in R2, constructed with Legendre polynomials, suitable, for instance, for the analogical description of images on the…
Enrico Celeghini, Manuel Gadella, Mariano A. del OlmoDec 29, 2023
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Some exact Green function solutions for non-linear classical field theories
We consider some non-linear non-homogeneous partial differential equations (PDEs) and derive their exact Green function solution as a functional Taylor expansion in powers of the source. The kind of…
Marco Frasca, Stefan GrooteDec 29, 2023
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Thermodynamics of the five-vertex model with scalar-product boundary conditions
We consider the homogeneous five-vertex model on a rectangle domain of the square lattice with so-called scalar-product boundary conditions. Peculiarity of these boundary conditions is that the…
Ivan N. Burenev, Andrei G. PronkoDec 29, 2023
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The relation between the canonical Hamilton-Jacobi equation and the covariant Hamilton-Jacobi equation for Maxwell's electrodynamics
The aim of this paper is to understand the relation between the canonical Hamilton-Jacobi equation for Maxwell's electrodynamics, which is an equation with variational derivatives for a functional of…
Monika E. Pietrzyk, Cécile Barbachoux, Joseph KouneiherDec 29, 2023
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Causal convergence conditions through variable timelike Ricci curvature bounds
We describe a nonsmooth notion of globally hyperbolic, regular length metric spacetimes (M,l). It is based on ideas of Kunzinger-S\"amann, but does not require Lipschitz continuity of…
Mathias Braun, Robert J. McCannDec 28, 2023
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On Density Functional Theory models for one-dimensional homogeneous materials
This paper studies DFT models for homogeneous 1D materials in the 3D space. It follows our previous work about DFT models for homogeneous 2D materials in 3D. We show how to reduce the problem from a…
Bouchra Bensiali, Salma Lahbabi, Abdallah Maichine et al.Dec 28, 2023
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Log topological recursion through the prism of x-y swap
We introduce a new concept of logarithmic topological recursion that provides a patch to topological recursion in the presence of logarithmic singularities and prove that this new definition…
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski et al.Dec 28, 2023
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Integral formulation of Dirac singular waveguides
This paper concerns a boundary integral formulation for the two-dimensional massive Dirac equation. The mass term is assumed to jump across a one-dimensional interface, which models a transition…
Guillaume Bal, Jeremy Hoskins, Solomon Quinn et al.Dec 27, 2023
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What is the Magnus Expansion?
The Magnus expansion, introduced by Wilhelm Magnus in 1954, is an infinite Lie series employed to express solutions for first-order homogeneous linear differential equations involving a linear…
Kurusch Ebrahimi-Fard, Igor Mencattini, Alexandre QuesneyDec 27, 2023
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Solutions by quadratures of complex Bernoulli differential equations and their quantum deformation
It is shown that the complex Bernoulli differential equations admitting the supplementary structure of a Lie-Hamilton system related to the book algebra b2 can always be solved by…
Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. HerranzDec 27, 2023
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Remarks on intersection numbers and integrable hierarchies. II. Tau-structure
For systems of evolutionary partial differential equations the tau-structure is an important notion which originated from the deep relation between integrable systems and quantum field theories. We…
Daniele Valeri, Di YangDec 27, 2023
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Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schr\"odinger operator
We prove a Cwikel-Lieb-Rozenblum type inequality for the number of negative eigenvalues of the Hardy-Schr\"odinger operator - - (d-2)2/(4|x|2) -W(x) on L2(Rd). The bound is…
Giao Ky Duong, Rupert L. Frank, Thi Minh Thao Le et al.Dec 27, 2023
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Field Theory via Higher Geometry I: Smooth Sets of Fields
Most modern theoretical considerations of the physical world suggest that nature is: (1) field-theoretic, (2) smooth, (3) local, (4) gauged, (5) containing fermions, and (6) non-perturbative.…
Grigorios Giotopoulos, Hisham SatiDec 26, 2023
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Boltzmann-type kinetic equations and discrete models
The known nonlinear kinetic equations (in particular, the wave kinetic equation and the quantum Nordheim -- Uehling -- Uhlenbeck equations) are considered as a natural generalization of the classical…
A. V. BobylevDec 26, 2023
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Limiting absorption principle and absence of eigenvalues for massless Klein-Gordon operators on perturbations of the Minkowski spacetime
We prove a uniform weighted resolvent estimate for the massless Klein-Gordon operator on a curved spacetime which is sufficiently close to the Minkowski spacetime. This particularly implies the…
Haruya MizutaniDec 25, 2023
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Duality for the multispecies stirring process with open boundaries
We study the stirring process with N-1 species on a generic graph G=(V,E) with reservoirs. The multispecies stirring process generalizes the symmetric exclusion process, which is…
Francesco Casini, Rouven Frassek, Cristian GiardinàDec 24, 2023
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Exact ground state of interacting electrons in magic angle graphene
One of the most remarkable theoretical findings in magic angle twisted bilayer graphene (TBG) is the emergence of ferromagnetic Slater determinants as exact ground states for the interacting…
Simon Becker, Lin Lin, Kevin D. StubbsDec 23, 2023
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On orbital stability of solitons for 2D Maxwell-Lorentz equations
We prove the orbital stability of soliton solutions for 2D Maxwell--Lorentz system with extended charged particle. The solitons corresponds to the uniform motion and rotation of the particle. We…
Alexander Komech, Elena KopylovaDec 23, 2023
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On Malyshev's method of automorphic functions in diffraction by wedges
We describe Malyshev's method of automorphic functions in application to boundary value problems in angles and to diffraction by wedges. We give a consize survey of related results of A. Sommerfeld,…
Alexander Komech, Anatoli MerzonDec 23, 2023
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Global attraction to solitons for 2D Maxwell--Lorentz equations with spinning particle
We consider the 2D Maxwell--Lorentz system which describes a rotating particle coupled to the Maxwell field. The system admits stationary soliton-type solutions. We prove the attraction to solitons…
Elena Kopylova, Alexander KomechDec 23, 2023
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Kinetic derivation of a compressible Leslie--Ericksen equation for rarified calamitic gases
Nematic ordering describes the phenomenon where anisotropic molecules tend to locally align, like matches in a matchbox. This ordering can arise in solids (as nematic elastomers), liquids (as liquid…
Patrick E. Farrell, Giovanni Russo, Umberto ZerbinatiDec 23, 2023
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Hard edge universality of Muttalib-Borodin ensembles with real parameter θ
We analyse the hard edge limit of the Muttalib-Borodin ensembles with general potential, and show that the limiting correlation kernel found in the ensemble with linear potential is universal. We…
Dong WangDec 22, 2023
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Fusion of irreducible modules in the periodic Temperley--Lieb algebra
We propose a new family Yk,,x,y,[z,w] of modules over the enlarged periodic Temperley--Lieb algebra EPTLN(β). These modules are built from link states with two…
Yacine Ikhlef, Alexi Morin-DuchesneDec 22, 2023
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