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Mathematical Physics papers — page 202

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A general approach to noncommutative spaces from Poisson homogeneous spaces: Applications to (A)dS and Poincar\'e
In this contribution we present a general procedure that allows the construction of noncommutative spaces with quantum group invariance as the quantization of their associated coisotropic Poisson…
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. HerranzDec 22, 2022
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Fiber sum formulas for 4-manifolds, topological modular forms and 6d\ N=(1,0) theories
Using the relation between four manifolds and topological modular form (TMF) from the six dimensional approach, we exhibit fiber sum formulas for infinite families of smooth spin four manifolds…
John ChaeDec 22, 2022
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Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
A gauge PDE is a geometrical object underlying what physicists call a local gauge field theory defined at the level of equations of motion (i.e. without specifying Lagrangian) in terms of…
Maxim GrigorievDec 21, 2022
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Arctic curves of the 20V model on a triangle
We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Twenty Vertex model with specific domain wall boundary conditions on a triangle, in the Disordered phase,…
Philippe Di FrancescoDec 21, 2022
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Gauss's law, the manifestations of gauge fields, and their impact on local observables
Within the framework of the universal algebra of the electromagnetic field, the impact of globally neutral configurations of external charges on the field is analyzed. External charges are not…
Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi et al.Dec 21, 2022
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Reaction Diffusion Systems and Extensions of Quantum Stochastic Processes
Reaction diffusion systems describe the behaviour of dynamic, interacting, particulate systems. Quantum stochastic processes generalise Brownian motion and Poisson processes, having operator valued…
Chris D GreenmanDec 21, 2022
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A few remarks on thermomechanics
We develop a global setting for modeling thermo-visco-elastic materials that satisfy the principles of thermodynamics and are properly invariant. This setting encompasses many known solid and fluid…
Hervé Le Dret, Annie RaoultDec 21, 2022
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The ordered exponential representation of GKM using the W1+∞ operator
The generalized Kontsevich model (GKM) is a one-matrix model with arbitrary potential. Its partition function belongs to the KP hierarchy. When the potential is monomial, it is an r-reduced…
Gehao WangDec 20, 2022
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Solutions to the wave equation for commuting flows of dispersionless PDEs
Motivated by the viewpoint of integrable systems, we study commuting flows of 2-component quasilinear equations, reducing to investigate the solutions of the wave equation with non-constant speed. In…
Natale Manganaro, Alessandra Rizzo, Pierandrea VergalloDec 20, 2022
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Eikonal Equation 0.1
We provide a review of some symmetry-related literature on the eikonal equations uμ uμ =0,uμ uμ =1, where lower indices at dependent variables designate derivatives, μ=0,1,2,..,n…
Iryna YehorchenkoDec 19, 2022
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Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
The computation of the entanglement entropy for inhomogeneous free fermions chains based on q-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from…
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe et al.Dec 19, 2022
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Energy dissipation in viscoelastic Bessel media
We investigate the specific attenuation factor for the Bessel models of viscoelasticity. We find that the quality factor for this class can be expressed in terms of Kelvin functions and that its…
Ivano Colombaro, Andrea Giusti, Andrea MentrelliDec 19, 2022
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Time evolution for the Pauli-Fierz operator (Markov approximation and Rabi cycle)
This article is concerned with a system of particles interacting with the quantized electromagnetic field (photons) in the non relativistic Quantum Electrodynamics (QED) framework and governed by the…
Laurent Amour, Jean NourrigatDec 19, 2022
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Schr\"odinger equation for two quasi-exactly solvable potentials
We apply solutions of Heun's general equation to the stationary Schr\"odinger equation with two quasi-exactly solvable elliptic potentials which depend on a real parameter . We get…
Bartolomeu D B FigueiredoDec 18, 2022
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Spectral curves of quantum graphs with δs type vertex conditions
In this Thesis, we study the behavior of spectral curves of quantum graphs under certain families of vertex conditions, called the δs family, which we define in this work. We focus on…
Gilad SoferDec 18, 2022
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2-d Fermionic SPT with CRT symmetry
An invariant of SPT-phases with on-site finite group G symmetry for two-dimensional Fermion systems was derived in [O]. This invariant is doubled compared to the conjectured one from the invertible…
Yoshiko OgataDec 18, 2022
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Type of local von Neumann algebras in abelian quantum double model
We show that the local von Neumann algebras on convex areas of the frustration-free ground state of abelian quantum double models are of type II∞.
Yoshiko OgataDec 18, 2022
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Monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian
We describe the monodromy of the equivariant quantum differential equation of the cotangent bundle of a Grassmannian in terms of the equivariant K-theory algebra of the cotangent bundle. This…
Vitaly Tarasov, Alexander VarchenkoDec 18, 2022
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Modeling Schr\"odinger equation diffraction with generalized function potentials and initial values
We discuss spectral properties of a regularization approach to a Schr\"odinger equation set-up for the diffraction of a quantum particle at almost planar patterns. Physically meaningful initial…
Günther Hörmann, Ljubica Oparnica, Christian SpreitzerDec 16, 2022
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Partial Euler operators and the efficient inversion of Div
The problem of inverting the total divergence operator is central to finding components of a given conservation law. This might not be taxing for a low-order conservation law of a scalar partial…
Peter E. HydonDec 16, 2022
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Generalisation of affine Lie algebras on compact real manifolds
We report on recent work concerning a new type of generalised Kac-Moody algebras based on the spaces of differentiable mappings from compact manifolds or homogeneous spaces onto compact Lie groups.
Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de TraubenbergDec 16, 2022
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The observables of a perturbative algebraic quantum field theory form a factorization algebra
We demonstrate that perturbative algebraic QFT methods, as developed by Fredenhagen and Rejzner, naturally yields a factorization algebras of observables for a large class of Lorentzian theories.…
Owen Gwilliam, Kasia RejznerDec 15, 2022
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Symmetries of non-linear ODEs: lambda extensions of the Ising correlations
This paper provides several illustrations of the numerous remarkable properties of the lambda-extensions of the two-point correlation functions of the Ising model, sheding some light on the…
S. Boukraa, J. -M. MaillardDec 15, 2022
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Landscape approximation of the ground state eigenvalue for graphs and random hopping models
We consider the localization landscape function u and ground state eigenvalue λ for operators on graphs. We first show that the maximum of the landscape function is comparable to the…
Laura Shou, Wei Wang, Shiwen ZhangDec 15, 2022
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Factorization for the full-line matrix Schr\"odinger equation and a unitary transformation to the half-line scattering
The scattering matrix for the full-line matrix Schr\"odinger equation is analyzed when the corresponding matrix-valued potential is selfadjoint, integrable, and has a finite first moment. The…
Tuncay Aktosun, Ricardo WederDec 15, 2022
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