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Mathematical Physics papers — page 219

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Globally existing solutions to the problem of Derichlet for the fractional 3D Poisson equation
A common approach is present concerning the problem of Dirichlet, both for bounded 3D domains and their (unbounded) complements, regarding the fractional (3D) Poisson equation.
Toshko Boev, Georgi GeorgievAug 19, 2022
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On the partition function of the Sp(4) integrable vertex model
In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under Sp(4) symmetry. We establish a set of functional…
G. A. P. Ribeiro, A. Klümper, P. A. PearceAug 18, 2022
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Condensation of interacting bosons
In this third paper of a series that started with arXiv:2106.10032 [math-ph] and continued with arXiv:2108.02659 [math-ph] we show that in d≥ 3 dimensions at low temperatures or high densities…
Andras SutoAug 18, 2022
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Convolution equations on the Lie group (-1,1)
The interval j=[-1,1] turns into an Abelian group () under the group operation x+ y:=(x+y)(1+xy)-1, x,y∈. This enables definition of the invariant measure $d…
Roland DuduchavaAug 18, 2022
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The rate of accumulation of negative eigenvalues to zero and the absolutely continuous spectrum
For a bounded real-valued function V on Rd, we consider two Schrödinger operators H+=-Δ+V and H-=-Δ-V. We prove that if the negative spectra H+ and H- are discrete and the…
Oleg SafronovAug 18, 2022
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Topological phases of matter, Quantum Error Correction and Topological twist
Unitary Modular Tensor Categories(UMTC) have a one-to-one correspondence with Topological Quantum Field Theories (TQFT). Different identifications have been made so far associating different physical…
Tushar PandeyAug 17, 2022
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Schwarzian derivative in higher-order Riccati equations
The Sturm-Liouville equation represents the linearized form of the first-order Riccati equation. This provides an evidence for the connection between Schwarzian derivative and this first-order…
Benoy Talukdar, Supriya Chatterjee, Golam Ali SekhAug 17, 2022
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Conservation laws and variational structure of damped nonlinear wave equations
All low-order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time-dependent. Such equations arise in numerous…
Stephen C. Anco, Almudena P. Marquez, Tamara M. Garrido et al.Aug 17, 2022
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Dirac field in AdS2 and representations of SL(2,R)
We study the solutions to the Dirac equation for the massive spinor field in the universal covering space of two-dimensional anti-de Sitter space. For certain values of the mass parameter, we impose…
David Serrano BlancoAug 17, 2022
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On the semiclassical regularity of thermal equilibria
We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identify explicitly a…
Jacky J. Chong, Laurent Lafleche, Chiara SaffirioAug 16, 2022
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Effective Dynamics of Translationally Invariant Magnetic Schr\"odinger Equations in the High Field Limit
We study the large field limit in Schr\"odinger equations with magnetic vector potentials describing translationally invariant B-fields with respect to the z-axis. In a first step, using regular…
Gheorghe Nenciu, Evelyn Richman, Christof SparberAug 16, 2022
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Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton--Jacobi theory for these systems following…
Manuel de León, Manuel Lainz, Asier López-Gordón et al.Aug 15, 2022
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Relational Analysis of Dirac Equation in Momentum Representation
In terms of the relational approach to space-time geometry and physical interactions, we show that the Dirac equation for a free fermion in the momentum representation can be obtained starting from a…
Anton V. Solov'yovAug 15, 2022
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Universal Cusp Scaling in Random Partitions
We study the universal scaling limit of random partitions obeying the Schur measure. Extending our previous analysis [arXiv:2012.06424], we obtain the higher-order Pearcey kernel describing the…
Taro Kimura, Ali ZahabiAug 15, 2022
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Fermi isospectrality of discrete periodic Schr\"odinger operators with separable potentials on Z2
Let =q1Z q2 Z with q1∈ Z+ and q2∈Z+. Let +X be the discrete periodic Schr\"odinger operator on Z2, where …
Wencai LiuAug 15, 2022
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Distributions of resonances of supercritical quasi-periodic operators
We discover that the distribution of (frequency and phase) resonances plays a role in determining the spectral type of supercritical quasi-periodic Schrödinger operators. In particular, we disprove…
Wencai LiuAug 14, 2022
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Self-avoiding walks and polygons crossing a domain on the square and hexagonal lattices
We have analysed the recently extended series for the number of self-avoiding walks (SAWs) CL(1) that cross an L × L square between diagonally opposed corners. The number of such walks is…
Anthony J Guttmann, Iwan JensenAug 13, 2022
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Quadratic forms for Aharonov-Bohm Hamiltonians
We consider a charged quantum particle immersed in an axial magnetic field, comprising a local Aharonov-Bohm singularity and a regular perturbation. Quadratic form techniques are used to characterize…
Davide FermiAug 12, 2022
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Evaluation and spanning sets of confluent Vandermonde forms
An arbitrary derivative of a Vandermonde form in N variables is given as [n1·s nN], where the i-th variable is differentiated N-ni-1 times, 1 ni N-1. A simple decoding table…
D. K. SunkoAug 12, 2022
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The Gross-Pitaevskii equation from the Heisenberg spin chain
In this paper, we revise the derivation of the Gross-Pitaevskii equation from the Heisenberg spin chain stressing physical aspects and all technicalities.
Osman Erkan Kaluc, Ilmar GahramanovAug 12, 2022
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Measurand Spaces and Dimensioned Hamiltonian Mechanics
In this paper we introduce a generalization of Hamiltonian mechanics that replaces configuration spaces, conventionally regarded simply as smooth manifolds, with line bundles over smooth manifolds.…
Carlos Zapata-CarratalaAug 11, 2022
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On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves
Full dispersive models of water waves, such as the Whitham equation and the full dispersion Kadomtsev-Petviashvili (KP) equation, are interesting from both the physical and mathematical points of…
H. A. Erbay, S. Erbay, A. ErkipAug 11, 2022
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Application of invariants of characteristics to construction of solutions without gradient catastrophe
The one-dimensional system of equations of isentropic gas dynamics is considered. First-order invariants of characteristics of this system are classified. Second-order invariants of characteristics…
Alexander V. Aksenov, Konstantin P. Druzhkov, Oleg V. KaptsovAug 10, 2022
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On the generalization of classical Zernike system
We generalize the results obtained recently (Nonlinearity 36 (2023), 1143) by providing a very simple proof of the superintegrability of the Hamiltonian…
Cezary Gonera, Joanna Gonera, Piotr KosinskiAug 10, 2022
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The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions
The focus of this paper is on the distribution function of the rightmost eigenvalue for the complex elliptic Ginibre ensemble in the limit of weak non-Hermiticity. We show how the limiting…
Thomas Bothner, Alex LittleAug 9, 2022
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