Skip to content

Mathematical Physics papers — page 193

math-phBrowse archive

Phase transition in a periodic tubular structure
We consider an -periodic ( 0) tubular structure, modelled as a magnetic Laplacian on a metric graph, which is periodic along a single axis. We show that the corresponding…
Alexander V. Kiselev, Kirill RyadovkinMar 2, 2023
Learn
Dirac points for twisted bilayer graphene with in-plane magnetic field
We study Dirac points of the chiral model of twisted bilayer graphene (TBG) with constant in-plane magnetic field. For a fixed small magnetic field, we show that as the angle of twisting varies…
Simon Becker, Maciej ZworskiMar 1, 2023
Learn
Universal diagonal estimates for minimizers of the Levy-Lieb functional
Given a wave-function minimizing the Levy-Lieb functional, the intent of this short note is to give an estimate of the probability of the particles being in positions (x1, …, xN) in the…
Simone Di Marino, Augusto Gerolin, Luca NennaMar 1, 2023
Learn
Phase spaces that cannot be cloned in classical mechanics
The quantum no cloning theorem is an essential result in quantum information theory. Following this idea, we give a physically natural definition of cloning in the context of classical mechanics…
Yuan YaoMar 1, 2023
Learn
An unitary representation of inhomogeneous SL(2,C) using surfaces in R4
We will construct a non-separable Hilbert space for which the inhomogeneous SL(2,C) acts on it unitarily. Each vector in this Hilbert space is described by a (rectangular) space-like…
Adrian P. C. LimMar 1, 2023
Learn
Flat Bands and High Chern Numbers in Twisted Multilayer Graphene
Motivated by recent Physical Review Letters of Wang-Liu and Ledwith-Vishwanath-Khalaf, we study Tarnopolsky-Kruchkov-Vishwanath chiral model of two sheets of n-layer Bernal stacked graphene twisted…
Mengxuan YangFeb 28, 2023
Learn
Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of U(n)
We construct a master dynamical system on a U(n) quasi-Poisson manifold, Md, built from the double U(n) × U(n) and d≥ 2 open…
M. Fairon, L. FeherFeb 28, 2023
Learn
Periodic and open classical spin Calogero-Moser chains
We construct a class of interacting spin Calogero-Moser type systems. They can be regarded as a many particle system with spin degrees of freedom and as an integrable spin chain of Gaudin type. We…
Nicolai ReshetikhinFeb 28, 2023
Learn
Cutoff ergodicity bounds in Wasserstein distance for a viscous energy shell model with L\'evy noise
This article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein-Kantorovich-Rubinstein (WKR) distance for a viscous energy shell lattice model of turbulence with…
Gerardo Barrera, Michael A. Högele, Juan Carlos Pardo et al.Feb 27, 2023
Learn
Hamiltonian representation of isomonodromic deformations of twisted rational connections: The Painlev\'e 1 hierarchy
In this paper, we build the Hamiltonian system and the corresponding Lax pairs associated to a twisted connection in gl2(C) admitting an irregular and ramified pole at infinity…
Olivier Marchal, Mohamad AlameddineFeb 27, 2023
Learn
The Simplified approach to the Bose gas without translation invariance
The Simplified approach to the Bose gas was introduced by Lieb in 1963 to study the ground state of systems of interacting Bosons. In a series of recent papers, it has been shown that the Simplified…
Ian JauslinFeb 27, 2023
Learn
On the uniqueness of trapezoidal four-body central configurations
We study central configurations of the Newtonian four-body problem that form a trapezoid. Using a topological argument we prove that there is at most one trapezoidal central configuration for each…
Manuele SantopreteFeb 25, 2023
Learn
An Integral Representation for the Dirac Propagator in the Reissner-Nordstr\"om Geometry in Eddington-Finkelstein Coordinates
The Cauchy problem for the massive Dirac equation is studied in the Reissner-Nordstr\"om geometry in horizon-penetrating Eddington-Finkelstein-type coordinates. We derive an integral representation…
Felix Finster, Christoph KrpounFeb 24, 2023
Learn
Poincar\'e-Chetaev equations in the Dirac's formalism of constrained systems
We single out a class of Lagrangians on a group manifold, for which one can introduce non-canonical coordinates in the phase space, which simplify the construction of the Poisson structure without…
Alexei A. DeriglazovFeb 24, 2023
Learn
Block regularisation of the logarithm central problem
The logarithm function is the gravitational potential in R2. We prove that the logarithm central force problem is block regularizable, that is, the (incomplete) flow may be continuously…
Archishman Saha, Cristina StoicaFeb 23, 2023
Learn
Infinite dimensional representations of cubic and quintic algebras and special functions
Finite and Infinite-dimensional representations of symmetry algebras play a significant role in determining the spectral properties of physical Hamiltonians. In this paper, we introduce and apply a…
Ian Marquette, Junze Zhang, Yao-Zhong ZhangFeb 23, 2023
Learn
Supertraces on queerified algebras
We describe supertraces on ``queerifications'' (see arxiv:2203.06917) of the algebras of matrices of ``complex size'', algebras of observables of Calogero-Moser model, Vasiliev higher spin algebras,…
Dimitry Leites, Irina ShchepochkinaFeb 23, 2023
Learn
Bethe vectors and recurrence relations for twisted Yangian based models
We study Olshanski twisted Yangian based models, known as one-dimensional "soliton non-preserving" open spin chains, by means of algebraic Bethe ansatz. The even case, when the bulk symmetry is…
Vidas RegelskisFeb 23, 2023
Learn
On the space of compact diamonds of Lorentzian length spaces
In this work we introduce the taxicab and uniform products for Lorentzian pre-length spaces. We further use these concepts to endow the space D(R×T X) of causal diamonds with a Lorentzian…
Waldemar Barrera, Luis Montes de Oca, Didier A. SolisFeb 23, 2023
Learn
Multiplane gravitational lenses with an abundance of images
We consider gravitational lensing of a background source by a finite system of point-masses. The problem of determining the maximum possible number of lensed images has been completely resolved in…
Charles R. Keeton, Erik Lundberg, Sean PerryFeb 23, 2023
Learn
Integrable models from singly generated planar algebras
Not all planar algebras can encode the algebraic structure of a Yang--Baxter integrable model described in terms of a so-called homogeneous transfer operator. In the family of subfactor planar…
Xavier Poncini, Jorgen RasmussenFeb 23, 2023
Learn
A right inverse of curl operator which is divergence free invariant and some applications to generalized Vekua type problems
In this work, we investigate the system formed by the equations div w=g0 and curl w= g in bounded star-shaped domains of R3. A Helmholtz-type…
Briceyda B. Delgado, Jorge E. Macías-DíazFeb 22, 2023
Learn
Conformal field theory, solitons, and elliptic Calogero--Sutherland models
We construct a non-chiral conformal field theory (CFT) on the torus that accommodates a second quantization of the elliptic Calogero-Sutherland (eCS) model. We show that the CFT operator that…
Bjorn K. Berntson, Edwin Langmann, Jonatan LenellsFeb 22, 2023
Learn
Monge-Ampere Geometry and Vortices
We introduce a new approach to Monge-Ampere geometry based on techniques from higher symplectic geometry. Our work is motivated by the application of Monge-Ampere geometry to the Poisson equation for…
Lewis Napper, Ian Roulstone, Vladimir Rubtsov et al.Feb 22, 2023
Learn
Kinetic models for systems of interacting agents with multiple microscopic states
We propose and investigate general kinetic models %of Boltzmann type with transition probabilities that can describe the simultaneous change of multiple microscopic states of the interacting agents.…
Marzia Bisi, Nadia LoyFeb 22, 2023
Learn
← PreviousPage 193Next →