Universality in the 2d quasi-periodic Ising model and Harris-Luck irrelevanceWe prove that in the 2d Ising Model with a weak bidimensional quasi-periodic disorder in the interaction, the critical behavior is the same as in the non-disordered case, that is the critical…Matteo Gallone, Vieri Mastropietro·Apr 4, 2023SaveLearn
Semiclassical estimates for Schr\"odinger operators with Neumann boundary conditions on H\"older domainsWe prove a universal bound for the number of negative eigenvalues of Schr\"odinger operators with Neumann boundary conditions on bounded H\"older domains, under suitable assumptions on the H\"older…Charlotte Dietze·Apr 4, 2023SaveLearn
Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknownThe article surveys the known results and conjectures about the analytic properties of dispersion relations and Fermi surfaces for periodic equations of mathematical physics and their spectral…Peter Kuchment·Apr 4, 2023SaveLearn
Scattering by a perforated sandwich membrane: method of Riemann surfacesThe model problem of scattering of a sound wave by an infinite plane structure formed by a semi-infinite acoustically hard screen and a semi-infinite sandwich panel perforated from one side and…Y. A. Antipov·Apr 3, 2023SaveLearn
On Schr\"odinger Operators Modified by δ InteractionsWe study the spectral properties of a Schr\"odinger operator H0 modified by δ interactions and show explicitly how the poles of the new Green's function are rearranged relative to the…Kaya Güven Akbaş, Fatih Erman, O. Teoman Turgut·Apr 3, 2023SaveLearn
Non-Hermitian superintegrable systemsA non-Hermitian generalisation of the Marsden--Weinstein reduction method is introduced to construct families of quantum PT-symmetric superintegrable models over an n-dimensional sphere…Francisco Correa, Luis Inzunza, Ian Marquette·Apr 3, 2023SaveLearn
Solving the Linearized Field Equations of the Causal Action Principle in Minkowski SpaceThe linearized field equations for causal fermion systems in Minkowski space are analyzed systematically using methods of functional analysis and Fourier analysis. Taking into account a…Felix Finster·Apr 3, 2023SaveLearn
On the well-posed variational principle in degenerate point particle systems using embeddings of the symplectic manifoldA methodology on making the variational principle well-posed in degenerate systems is constructed. In the systems including higher-order time derivative terms being compatible with Newtonian…Kyosuke Tomonari·Apr 3, 2023SaveLearn
Some contributions to k-contact Lagrangian field equations, symmetries and dissipation lawsIt is well known that k-contact geometry is a suitable framework to deal with non-conservative field theories. In this paper, we study some relations between solutions of the k-contact Euler-Lagrange…Xavier Rivas, Modesto Salgado, Silvia Souto·Apr 3, 2023SaveLearn
Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groupsQuantum mechanical systems with position dependent masses (PDM) admitting two parametric Lie symmetry groups are classified. Namely, all PDM systems are specified which, in addition to their…A. G. Nikitin·Apr 2, 2023SaveLearn
Generalized hypergeometric coherent states for special functions: mathematical and physical propertiesIn continuation of our previous works J. Phys. A: Math. Gen. 35, 9355-9365 (2002), J. Phys. A: Math. Gen. 38, 7851 (2005) and Eur. Phys. J. D 72, 172 (2018), we investigate a class of generalized…Isiaka Aremua, Messan Médard Akouetegan, Komi Sodoga et al.·Apr 2, 2023SaveLearn
Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structuresA geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by…José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda·Apr 1, 2023SaveLearn
Continuum limit for a discrete Hodge-Dirac operator on square latticesWe study the continuum limit for Dirac-Hodge operators defined on the n dimensional square lattice hZn as h goes to 0. This result extends to a first order discrete differential…Pablo Miranda, Daniel Parra·Mar 31, 2023SaveLearn
DHR bimodules of quasi-local algebras and symmetric quantum cellular automataFor a net of C*-algebras on a discrete metric space, we introduce a bimodule version of the DHR tensor category and show it is an invariant of quasi-local algebras under isomorphisms with bounded…Corey Jones·Mar 31, 2023SaveLearn
Hamel equations and quasivelocities for nonholonomic systems with inequality constraintsIn this paper we derive Hamel equations for the motion of nonholonomic systems subject to inequality constraints in quasivelocities. As examples, the vertical rolling disk hitting a wall and the…Alexandre Anahory Simoes, Leonardo Colombo·Mar 31, 2023SaveLearn
On Pentagon Equation, Tetrahedron Equation, Evolution and Integrals of MotionThere is a sub-class of the solutions to Quantum Tetrahedron Equation related to the algebraical Pentagon Equation. The Quantum Tetrahedron Equation defines an evolution operator in wholly discrete…Sergey Sergeev·Mar 30, 2023SaveLearn
Bethe Ansatz and Rogers-Ramanujan-type identitiesThe Rogers-Ramanujan identity for \!\!|11 Σn∈Z (a;q)n(b;q)n zn\;=\; (q,b/a,az,q/az;q)∞(b,q/a,z,b/az;q)∞ can be classified as…Sergey Sergeev·Mar 30, 2023SaveLearn
Spectral equations and ground state for the modular -Gordon modelWe study the modular pair of TQ equations for the quantum -Gordon model in the framework of non-compact Uq,q*(sl2). We assume some conjectures for the thermodynamic…Sergey Sergeev·Mar 30, 2023SaveLearn
Elliptic Sklyanin Algebra, Baxter Equation and Discrete Liouville EquationIn this paper we discuss some properties of Baxter's TQ equation for the eight-vertex elliptic Sklyanin algebra it its compact representation based on the elliptic Gamma-functions. As the main…Sergey Sergeev·Mar 30, 2023SaveLearn
Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding modelsWe discuss the Curtright-Zachos (CZ) deformation of the Virasoro algebra and its extentions in terms of magnetic translation (MT) group in a discrete Bloch electron system, so-called the tight…Naruhiko Aizawa, Haru-Tada Sato·Mar 30, 2023SaveLearn
One class of linear Fredholm integral equations with functionals and parametersThe theory of linear Fredholm integral-functional equations of the second kind with linear functionals and with a parameter is considered. The necessary and sufficient conditions are obtained for the…L. R. Dreglea Sidorov, N. Sidorov, D. Sidorov·Mar 29, 2023SaveLearn
Conditions for symmetry reduction of polysymplectic and polycosymplectic structuresFor Hamiltonian field theories on polysymplectic manifolds with a symmetry group action and a momentum map, we explore the redundancy in a set of necessary conditions that has appeared in the…Eduardo García-Toraño Andrés, Tom Mestdag·Mar 28, 2023SaveLearn
Polygon gluing and commuting bosonic operatorsWe construct two series of commuting Hamiltonians parametrized by a constant matrix. The first series was my guess and the second one was know, and in our approach follows from the first series. For…A. Yu. Orlov·Mar 28, 2023SaveLearn
On Local Heat KernelThe paper is devoted to a local heat kernel, which is a special part of the standard heat kernel. Locality means that all considerations are produced in an open convex set of a smooth Riemannian…A. V. Ivanov·Mar 28, 2023SaveLearn
Converging Periodic Boundary Conditions and Detection of Topological Gaps on Regular Hyperbolic TessellationsTessellations of the hyperbolic spaces by regular polygons are becoming popular because they support discrete quantum and classical models displaying unique spectral and topological characteristics.…Fabian R. Lux, Emil Prodan·Mar 27, 2023SaveLearn