q-deformed Griffiths polynomials of Racah typeNew bivariate Griffiths polynomials of q-Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R. Griffiths fifty…Nicolas Crampe, Luc Frappat, Julien Gaboriaud et al.·Jul 24, 2024SaveLearn
Kuramoto model on Sierpinski Gasket I: Harmonic mapsMotivated by the study of attractors in the Kuramoto model (KM) on graphs approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first…Georgi S. Medvedev, Matthew S. Mizuhara·Jul 23, 2024SaveLearn
Eventually entanglement breaking divisible quantum dynamicsIt is shown that a large class of quantum dynamical maps on complex matrix algebras governed by time-local Master Equations tend to become entanglement breaking in the course of time. Such situation…Krzysztof Szczygielski, Dariusz Chruściński·Jul 23, 2024SaveLearn
Transparent scatterers and transmission eigenvaluesWe give a short review of old and recent results on scatterers with transmission eigenvalues of infinite multiplicity, including transparent scatterers. Historically, these studies go back to the…P. G. Grinevich, R. G. Novikov·Jul 23, 2024SaveLearn
Inverse scattering transform for the discrete nonlocal PT symmetric nonlinear Schr\"odinger equation with nonzero boundary conditionsIn this paper, the inverse scattering transform for the integrable discrete nonlocal PT symmetric nonlinear Schr\"odinger equation with nonzero boundary conditions is presented. According to the two…Ya-Hui Liu, Rui Guo, Jian-Wen Zhang·Jul 23, 2024SaveLearn
Asymptotic-preserving neural networks for the semiconductor Boltzmann equation and its application on inverse problemsIn this paper, we develop the Asymptotic-Preserving Neural Networks (APNNs) approach to study the forward and inverse problem for the semiconductor Boltzmann equation. The goal of the neural network…Liu Liu, Yating Wang, Xueyu Zhu et al.·Jul 23, 2024SaveLearn
Quantum aspect of the classical dynamicsWe show that some quantum effects, such as the creation and annihilation of particles and the existence of dark energy, actually arise in study of known models of classical mechanics, such as the…Andrei K. Pogrebkov·Jul 22, 2024SaveLearn
Distributions of consecutive level spacings of Gaussian unitary ensemble and their ratio: ab initio derivationIn recent studies of many-body localization in nonintegrable quantum systems, the distribution of the ratio of two consecutive energy level spacings, rn=(En+1-En)/(En-En-1) or…Shinsuke M. Nishigaki·Jul 22, 2024SaveLearn
Poisson bundles over unordered configurationsIn this paper we construct a Poisson algebra bundle whose distributional sections are suitable to represent multilocal observables in classical field theory. To do this, we work with vector bundles…Alessandra Frabetti, Olga Kravchenko, Leonid Ryvkin·Jul 21, 2024SaveLearn
The Aharonov-Bohm Hamiltonian: self-adjointness, spectral and scattering propertiesThis work provides an introduction and overview on some basic mathematical aspects of the single-flux Aharonov-Bohm Schr\"odinger operator. The whole family of admissible self-adjoint realizations is…Davide Fermi·Jul 21, 2024SaveLearn
Momentum Space Feynman Integral for the Bound State Aharonov-Bohm EffectWe construct the Feynman integral for the Schr\"odinger propagator in the polar conjugate momentum space, which describes the bound state Aharonov-Bohm effect, as a well-defined white noise…Alviu Rey Nasir, Jingle Magallanes, Herry Pribawanto Suryawan et al.·Jul 21, 2024SaveLearn
Commutation relations for functions of canonical conjugate operatorsIn this work, the commutator of any two reasonable functions of several pairs of canonical conjugate operators is obtained as a sum of terms of partial derivatives of those functions (equations 9, 10…Conrado Badenas·Jul 20, 2024SaveLearn
Timoshenko beam under finite and dynamic transformations: Lagrangian coordinates and Hamiltonian structuresIn the framework of Timoshenko beam, the material parameters are inherently prescribed on the material moving frame. In this regard, we derive the strong and weak formulations of the dynamics under…Oscar Cosserat, Loïc Le Marrec·Jul 19, 2024SaveLearn
Algebraic localization of generalized Wannier bases implies Roe triviality in any dimensionWith the aim of understanding the localization topology correspondence for non periodic gapped quantum systems, we investigate the relation between the existence of an algebraically well-localized…Vincenzo Rossi, Gianluca Panati·Jul 19, 2024SaveLearn
The number and location of two particle Schr\"odinger operators on a latticeWe study the Schr\"odinger operators Hλμ(K) with K∈T2 being the fixed quasimomentum of a pair of particles, associated with a system of two arbitrary particles on a…Sobir Ulashov, Shakhobiddin Khamidov, Shukhrat Lakaev·Jul 19, 2024SaveLearn
Number of bound states of the Hamiltonian of a lattice two-boson system with interactions up to the next neighbouring sitesWe study the family Hγ λ μ(K), K∈ T2, of discrete Schr\"odinger operators, associated to the Hamiltonian of a system of two identical bosons on the two-dimen\-sional…Saidakhmat N. Lakaev, Shakhobiddin I. Khamidov, Mukhayyo O. Akhmadova·Jul 18, 2024SaveLearn
The multiplicity of the ground state of a generalized particle system interacting with a massless Bose fieldA generalized particle system interacting with a massless Bose field is investigated. We assume regularity conditions for the commutation relations of the interaction and annihilation operators. It…Toshimitsu Takaesu·Jul 18, 2024SaveLearn
The Structure of Emulations in Classical Spin Models: Modularity and UniversalityThe theory of spin models intersects with condensed matter physics, complex systems, graph theory, combinatorial optimization, computational complexity and neural networks. Many ensuing applications…Tobias Reinhart, Benjamin Engel, Gemma De les Coves·Jul 18, 2024SaveLearn
Moments of the derivative of the characteristic polynomial of unitary matricesLet X(s)=(I-sX) be the characteristic polynomial of a Haar distributed unitary matrix X. It is believed that the distribution of values of X(s) model the…Emilia Alvarez, Brian Conrey, Michael O. Rubinstein et al.·Jul 18, 2024SaveLearn
Topological SemimetalsWe review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fermi arcs.Guo Chuan Thiang·Jul 17, 2024SaveLearn
On Hastings factorization for quantum many-body systems in the infinite volume settingWe will give self-contained and detailed proofs of the (multidimensional) Hastings factorization as well as a (1-dimensional) area law in a wider setup than previous works. Especially, they are…Ayumi Ukai·Jul 17, 2024SaveLearn
Parity-deformed sl(2,R), su(2) and so(3) Algebras: a Basis for Quantum Optics and Quantum Communications ApplicationsHaving in mind the significance of parity (reflection) in various areas of physics, the single-mode and two-mode Wigner algebras are considered adding to them a reflection operator. The associated…W. S. Chung, H. Hassanabadi, L. M. Nieto et al.·Jul 16, 2024SaveLearn
Superintegrable families of magnetic monopoles with non-radial potential in curved backgroundWe review some known results on the superintegrability of monopole systems in the three-dimensional (3D) Euclidean space and in the 3D generalized Taub-NUT spaces. We show that these results can be…Antonella Marchesiello, Daniel Reyes, Libor Šnobl·Jul 16, 2024SaveLearn
Gauged linear sigma model in geometric phase. II. the virtual cycleWe provide the detailed construction of the virtual cycles needed for defining the cohomological field theory associated to a gauged linear sigma model in geometric phase.Gang Tian, Guangbo Xu·Jul 16, 2024SaveLearn
A Frobenius-type theory for discrete systemsWe develop an approach analogous to classical Frobenius theory for the analysis of singularities of ODEs in the case of discrete dynamical systems. Our methodology is based on the Roman-Rota theory…Daniel Reyes, Miguel A. Rodríguez, Piergiulio Tempesta·Jul 16, 2024SaveLearn