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Mathematical Physics papers — page 205

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Patterned Random Matrices: deviations from universality
We investigate the level spacing distribution for three ensembles of real symmetric matrices having additional structural constraint to reduce the number of independent entries to only (n+1)/2 in…
Md. Sabir Ali, Shashi C. L. SrivastavaNov 29, 2022
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Open r-spin theory III: a prediction for higher genus
In our previous two papers, we constructed an r-spin theory in genus zero for Riemann surfaces with boundary and fully determined the corresponding intersection numbers, providing an analogue of…
Alexandr Buryak, Emily Clader, Ran J. TesslerNov 29, 2022
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Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions
Relations between the mean values of distributions of flipped spins on periodic Heisenberg XX chain and some aspects of enumerative combinatorics are discussed. The Bethe vectors, which are the…
C. Malyshev, N. M. BogoliubovNov 29, 2022
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Progress on the study of the Ginibre ensembles I: GinUE
The Ginibre unitary ensemble (GinUE) consists of N × N random matrices with independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre, who showed that the…
Sung-Soo Byun, Peter J. ForresterNov 29, 2022
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The Supergeometric Algebra
Spinors are central to physics: all matter (fermions) is made of spinors, and all forces arise from symmetries of spinors. It is common to consider the geometric (Clifford) algebra as the fundamental…
Andrew J. S. HamiltonNov 28, 2022
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Lagrangian formalism and the intrinsic geometry of PDEs
A notion of internal Lagrangian for a system of differential equations is introduced. A spectral sequence related to internal Lagrangians is obtained. A connection between internal Lagrangians and…
Kostya DruzhkovNov 28, 2022
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Solutions of the SU(n+1) Toda system from meromorphic functions
We consider the SU(n+1) Toda system on a simply connected domain in C, the n=1 case of which coincides with the Liouville equation u+8eu=0. A classical result by…
Yiqian Shi, Chunhui Wei, Bin XuNov 28, 2022
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A generalized Hamiltonian formulation of the principle of virtual work
The authors previous derivation of a variational principle from the total work functional, as a generalization of the first variation of an action functional, is extended by deriving a corresponding…
D. H. DelphenichNov 28, 2022
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A Turbulent Fluid Mechanics Via Nonlinear Mixing Of Smooth Velocity Flows With Reynolds-Weighted Random Fields
We consider a finite-volume domain D⊂R3 of size Vol(D) L3 containing a viscous fluid of kinematic viscosity with velocity…
Steven D MillerNov 27, 2022
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Maxwell equations in homogeneous spaces with solvable groups of motions
The classification of exact solutions of Maxwell vacuum equations for the case when the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the motion group G(VII)…
V. V. ObukhovNov 27, 2022
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Nonexistence of Vortices for Rotating Two-Component Focusing Bose Gases
This paper is concerned with ground states of two-component Bose gases confined in a harmonic trap V(x)=x12+2 x22 rotating at the velocity >0, where 1 and $(x1,…
Yongshuai Gao, Yujin Guo, Yan Li et al.Nov 27, 2022
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The q-Racah polynomials from scalar products of Bethe states
The q-Racah polynomials are expressed in terms of certain ratios of scalar products of Bethe states associated with Bethe equations of either homogeneous or inhomogeneous type. This result is…
Pascal Baseilhac, Rodrigo A. PimentaNov 27, 2022
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Local Statistics and Shuffling for Dimers on a Square-Hexagon Lattice
We study the dimer model on special subgraphs of the square hexagon lattice called "tower graphs" of size N. Using integrable probability techniques, we confirm that as N → ∞, the…
Matthew NicolettiNov 26, 2022
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Poly-meromorphic It\o-Hermite functions associated with a singular potential vector on the punctured complex plane
We provide a theoretical study of a new family of orthogonal functions on the punctured complex plane solving the eigenvalue problems for some magnetic Laplacian perturbed by a singular vector…
Hajar Dkhissi, Allal GhanmiNov 26, 2022
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Non-local Minami-type estimates for a class of quasi-periodic media
This paper is a follow-up of our earlier work [11] where a uniform exponential Anderson localization was proved for a class of deterministic (including quasi-periodic) Hamiltonians with the help of a…
Victor ChulaevskyNov 26, 2022
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Integrals of tau functions I: Round dance tau function and multi-matrix integrals
The simplest nontrivial tau functions of the Toda lattice and the -component Toda lattice are compared in their applications to multimatrix integrals.
Orlov A. YuNov 25, 2022
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Some Applications of Affine in Velocities Lagrangians in Two-dimensional Systems
The 2-dimensional inverse problem for first-order systems is analysed and a method to construct an affine Lagrangian for such systems is developed. The determination of such Lagrangians is based on…
José F. Cariñena, José Fernández-NúñezNov 25, 2022
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Rutherford scattering of quantum and classical fields
Quantum Rutherford scattering and scattering of classical waves off Coulomb-like potentials have similar formal structures and can be studied using the same mathematical techniques. In both contexts,…
Martin Pijnenburg, Giulia Cusin, Cyril Pitrou et al.Nov 25, 2022
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Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
We consider the renormalized relativistic Nelson model in two spatial dimensions for a finite number of spinless, relativistic quantum mechanical matter particles in interaction with a massive scalar…
Benjamin Hinrichs, Oliver MatteNov 25, 2022
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Elliptic soliton solutions of the spin non-chiral intermediate long-wave equation
We construct elliptic multi-soliton solutions of the spin non-chiral intermediate long-wave (sncILW) equation with periodic boundary conditions. These solutions are obtained by a spin-pole ansatz…
Bjorn K. Berntson, Edwin Langmann, Jonatan LenellsNov 24, 2022
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Fuzzy hyperspheres via confining potentials and energy cutoffs
We simplify and complete the construction of fully O(D)-equivariant fuzzy spheres SdL, for all dimensions d D-1, initiated in [G. Fiore, F. Pisacane, J. Geom. Phys. 132 (2018), 423].…
Gaetano FioreNov 23, 2022
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Underdetermined Dyson-Schwinger equations
This paper examines the effectiveness of the Dyson-Schwinger (DS) equations as a calculational tool in quantum field theory. The DS equations are an infinite sequence of coupled equations that are…
Carl M. Bender, Christos Karapoulitidis, S. P. KlevanskyNov 23, 2022
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Towards a Universal Gibbs Constant
In this paper we build on the work of kaber where it was shown that the one-parameter family of Gegenbauer Polynomials (GP) exhibit a Gibbs Phenomenon at a jump discontinuity. We show that the…
John Cullinan, Santanu AntuNov 23, 2022
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Critical site percolation on the triangular lattice: From integrability to conformal partition functions
Critical site percolation on the triangular lattice is described by the Yang-Baxter solvable dilute A2(2) loop model with crossing parameter specialized to λ=π3, corresponding to…
Alexi Morin-Duchesne, Andreas Klümper, Paul A. PearceNov 22, 2022
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Relaxation and domain wall structure of bilayer moire systems
Moire patterns result from setting a 2D material such as graphene on another 2D material with a small twist angle or from the lattice mismatch of 2D heterostructures. We present a continuum model for…
Paul Cazeaux, Drake Clark, Rebecca Engelke et al.Nov 22, 2022
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