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Mathematical Physics papers — page 185

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The Darboux-KP system as an integrable Chern-Simons multiform theory in infinite dimensional space
In a previous paper by one of the authors, a Lagrangian 3-form structure was established for a generalised Darboux system, originally describing orthogonal curvilinear coordinate systems, which…
Joao Faria Martins, Frank W Nijhoff, Daniel RiccombeniMay 4, 2023
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Algebraic Structures Behind the Yang-Baxterization Process
We review the Yang-Baxterization process of braid group representations. We discuss the corresponding n-CB algebras in the Yang-Baxterization process. We present diagrams of the relations for the…
Cansu Özdemir, Ilmar GahramanovMay 4, 2023
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Elliptic Cauchy matrices
Some identities that involve the elliptic version of the Cauchy matrices are presented and proved. They include the determinant formula, the formula for the inverse matrix, the matrix product…
V. Prokofev, A. ZabrodinMay 4, 2023
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The Geometry of Picture Changing Operators
This note aims at clarifying some mathematical aspects of what is known in Physics as Picture Changing Operator (PCO). In particular, we want to show that PCOs are chain maps between the…
Carlo Alberto CremoniniMay 4, 2023
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A new look at Lie algebras
We present a new look at description of real finite-dimensional Lie algebras. The basic element turns out to be a pair (F,v) consisting of a linear mapping F∈ End(V) and its eigenvector v.…
Alina Dobrogowska, Grzegorz JakimowiczMay 4, 2023
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Relative Entropy of Fermion Excitation States on the CAR Algebra
The relative entropy of certain states on the algebra of canonical anticommutation relations (CAR) is studied in the present work. The CAR algebra is used to describe fermionic degrees of freedom in…
Stefano Galanda, Albert Much, Rainer VerchMay 4, 2023
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Large deviations and fluctuations of real eigenvalues of elliptic random matrices
We study real eigenvalues of N× N real elliptic Ginibre matrices indexed by a non-Hermiticity parameter 0≤ τ<1, in both the strong and weak non-Hermiticity regime. Here N is assumed…
Sung-Soo Byun, Leslie Molag, Nick SimmMay 4, 2023
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Refined topological recursion revisited -- properties and conjectures
For any (possibly singular) hyperelliptic curve, we give the definition of a hyperelliptic refined spectral curve and the hyperelliptic refined topological recursion, generalising the formulation for…
Kento OsugaMay 4, 2023
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Some Remarks on Multisymplectic and Variational Nature of Monge-Amp\`ere Equations in Dimension Four
We describe a necessary condition for the local solvability of the strong inverse variational problem in the context of Monge-Amp\`ere partial differential equations and first-order Lagrangians. This…
Radek SuchánekMay 3, 2023
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Hamiltonian cycles on bicolored random planar maps
We study the statistics of Hamiltonian cycles on various families of bicolored random planar maps (with the spherical topology). These families fall into two groups corresponding to two distinct…
Bertrand Duplantier, Olivier Golinelli, Emmanuel GuitterMay 3, 2023
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An Introduction to the Deviatoric Decomposition in Three-Dimensions Based on a Recursive Formula
Higher-order tensors appear in various areas of mechanics as well as physics, medicine or earth sciences. As these tensors are highly complex, most are not well understood. Thus, the analysis and the…
Anja Barz, Chiara Hergl, Gerik ScheuermannMay 3, 2023
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The Cauchy problem for the Proca equation in gravitating dielectric media
We analyze the Cauchy problem for the Proca equation in gravitating dielectric media.
Florian Steininger, Piotr T. ChruścielMay 2, 2023
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Hilbert-Schmidt Estimates for Fermionic 2-Body Operators
We prove that the 2-body operator γ2 of a fermionic N-particle state obeys ||γ2||HS ≤ 5 N, which complements the bound of Yang that…
Martin Ravn ChristiansenMay 1, 2023
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Lower bounds on the energy of the Bose gas
We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the box is larger than…
Søren Fournais, Theotime Girardot, Lukas Junge et al.May 1, 2023
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Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions
Starting from the hyperoctahedral multivariate hypergeometric function of Heckman and Opdam (associated with the BCn root system), we arrive -- via partial confluent limits in the sense of Oshima…
Jan Felipe van Diejen, Erdal EmsizMay 1, 2023
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Entanglement Entropy Bounds for Droplet States of the XXZ Model on the Strip
The scaling behavior of the entanglement entropy of droplet states in Heisenberg spin-1/2 XXZ model defined on a strip of width M under the presence of a non-negative background magnetic field is…
Christoph Fischbacher, Lee FisherMay 1, 2023
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gl(3) Polynomial Integrable System: Different Faces of the 3-Body/ A2 Elliptic Calogero Model
It is shown that the gl(3) polynomial integrable system, introduced by Sokolov-Turbiner in [arXiv:1409.7439], is equivalent to the gl(3) quantum Euler-Arnold top in a…
Alexander V. Turbiner, Juan Carlos Lopez Vieyra, Miguel AyalaApr 30, 2023
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On the localization regime of certain random operators within Hartree-Fock theory
Localization results for a class of random Schr\"odinger operators within the Hartree-Fock approximation are proved in two regimes: large disorder and weak disorder/extreme energies. A large disorder…
Rodrigo MatosApr 30, 2023
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On the relation between Dencker's polarization set and the gauge-fixing in electrodynamics
The purpose of this short review, based in part on ideas developed in an article by the author and Fagundes [3], is to emphasize that the gauge-fixing condition, necessary to eliminate the spurious…
Daniel H. T. FrancoApr 28, 2023
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Spectral interactions between strings in the Higgs background
We derive the exact form of the spectral interaction of two strings mediated by a constant scalar field using methods derived from noncommutative geometry. This is achieved by considering a…
Arkadiusz Bochniak, Andrzej SitarzApr 28, 2023
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Dynamical symmetries of the anisotropic oscillator
It is well known that the Hamiltonian of an n-dimensional isotropic oscillator admits an SU(n) symmetry, making the system maximally superintegrable. However, the dynamical symmetries of the…
Akash Sinha, Aritra Ghosh, Bijan BagchiApr 27, 2023
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Dissipation and the information content of the deviation from hamiltonian dynamics
We explain a dissipative version of hamiltonian mechanics, based on the information content of the deviation from hamiltonian dynamics. From this formulation we deduce minimal dissipation principles,…
Marius BuligaApr 27, 2023
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Lie Symmetry Analysis and Some New Exact Solutions to the KP-BBM Equation
This paper is aimed to study the KP-BBM equation, which was proposed by Abdul Majid Wazwaz in 2005. To check its integrability Painleve test has been performed. Lie Symmetry analysis has been done…
Arindam Ghosh, Sarit MaitraApr 27, 2023
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Asymptotic analysis of the Narrow Escape Problem in general shaped domain with several absorbing necks
This paper considers the two-dimensional narrow escape problem in a domain which is composed of a relatively big head and several thin necks. The narrow escape problem is to compute the mean first…
Xiaofei Li, Shengqi LinApr 27, 2023
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Aharonov-Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition
The Aharonov-Casher theorem is a result on the number of the so-called zero modes of a system described by the magnetic Pauli operator in R2. In this paper we address the same question…
Marie FialováApr 26, 2023
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