Orbifolds of topological quantum field theoriesThe orbifold construction via topological defects in quantum field theory can either be understood as a state sum construction internal to a given ambient theory, or as the procedure of (identifying…Nils Carqueville·Jul 31, 2023SaveLearn
A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamicsWe show that the Oldroyd B fluid model is the Eulerian form of a Lagrangian model with an internal variable that satisfies the second law of thermodynamics under some conditions on the initial value…Hervé Le Dret, Annie Raoult·Jul 31, 2023SaveLearn
Quantum Optimal Transport: Quantum Channels and QubitsThese notes are based on the lectures given by the second author at the School on Optimal Transport on Quantum Structures at Erd\"os Center in September 2022. The focus of the exposition is on two…Giacomo De Palma, Dario Trevisan·Jul 30, 2023SaveLearn
The Havriliak-Negami and Jurlewicz-Weron-Stanislavsky relaxation models revisited: memory functions based studyWe provide a review of theoretical results concerning the Havriliak-Negami (HN) and the Jurlewicz-Weron-Stanislavsky (JWS) dielectric relaxation models. We derive explicit forms of functions…K. Górska, A. Horzela, K. A. Penson·Jul 30, 2023SaveLearn
Canonical Typicality For Other Ensembles Than Micro-CanonicalWe generalize L\'evy's lemma, a concentration-of-measure result for the uniform probability distribution on high-dimensional spheres, to a much more general class of measures, so-called GAP measures.…Stefan Teufel, Roderich Tumulka, Cornelia Vogel·Jul 28, 2023SaveLearn
Macroscopic limit of a Fokker-Planck model of swarming rigid bodiesWe consider self-propelled rigid-bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this system at large…Pierre Degond, Amic Frouvelle·Jul 28, 2023SaveLearn
On multidimensional inverse scattering under the Stark effectWe study one of multidimensional inverse scattering problems for quantum systems in a constant electric field, by utilization of the Enss-Weder time-dependent method. The main purpose of this paper…Tadayoshi Adachi, Yuta Tsujii·Jul 28, 2023SaveLearn
Newton's Off-Center Circular Orbits and the Magnetic MonopoleIntroducing a radially dependent magnetic field into Newton's off-center circular orbits potential so as to preserve the E=0 dynamical symmetry leads to a unique choice of field that can be…Dipesh Bhandari, Michael Crescimanno·Jul 27, 2023SaveLearn
Pointwise bounds on confined states in non-relativistic QEDKato's well known distributional inequality for the magnetic Laplacian holds equally in the more general setting of non-relativistic quantum electrodynamics (QED), where the wave function is…M. Griesemer, V. Kußmaul·Jul 27, 2023SaveLearn
Boundary structure of the standard model coupled to gravityIn this article a description of the reduced phase space of the standard model coupled to gravity is given. For space or time-like boundaries this is achieved as the reduction of a symplectic space…Giovanni Canepa, Alberto S. Cattaneo, Filippo Fila-Robattino et al.·Jul 27, 2023SaveLearn
Recursions and ODEs for the correlators in integrable systems and random matricesAn integrable system is often formulated as a flat connection, satisfying a Lax equation. It is given in terms of compatible systems having a common solution called the ``wave function" living…Bertrand Eynard, Dimitrios Mitsios, Soufiane Oukassi·Jul 27, 2023SaveLearn
Topological travelling waves of a macroscopic swarmalator model in confined geometriesWe investigate a new class of topological travelling-wave solutions for a macroscopipc swarmalator model involving force non-reciprocity. Swarmalators are systems of self-propelled particles endowed…Pierre Degond, Antoine Diez·Jul 27, 2023SaveLearn
Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergencesWe provide a rigorous construction of a large class of generalized spin-boson models with ultraviolet-divergent form factors. This class comprises various models of many possibly non-identical atoms…Sascha Lill, Davide Lonigro·Jul 27, 2023SaveLearn
Resonances and inverse problems for energy-dependent potentials on the half-lineWe consider Schr\"odinger equations with linearly energy-depending potentials which are compactly supported on the half-line. We first provide estimates of the number of eigenvalues and resonances…Evgeny Korotyaev, Andrea Mantile, Dmitrii Mokeev·Jul 26, 2023SaveLearn
Harmonic Oscillator with a Step and its Isospectral PropertiesWe investigate the one-dimensional Schr\"odinger equation for a harmonic oscillator with a finite jump a at the origin. The solution is constructed by employing the ordinary…Yuta Nasuda, Nobuyuki Sawado·Jul 26, 2023SaveLearn
Kepler dynamics on a conformable Poisson manifoldThe problem of Kepler dynamics on a conformable Poisson manifold is addressed. The Hamiltonian function is defined and the related Hamiltonian vector field governing the dynamics is derived, which…Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji·Jul 26, 2023SaveLearn
Internal Lagrangians of PDEs as variational principlesA description of how the principle of stationary action reproduces itself in terms of the intrinsic geometry of variational equations is proposed. A notion of stationary points of an internal…Kostya Druzhkov·Jul 26, 2023SaveLearn
Phase Transitions in Multidimensional Long-Range Random Field Ising ModelsWe extend a recent argument by Ding and Zhuang from nearest-neighbor to long-range interactions and prove the phase transition in a class of ferromagnetic random field Ising models. Our proof…Lucas Affonso, Rodrigo Bissacot, João Maia·Jul 26, 2023SaveLearn
Structure of Clifford-Weyl Algebras And Representations of ortho-symplectic Lie SuperalgebrasIn this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is…Nasser Boroojerdian·Jul 26, 2023SaveLearn
The generalized Wehrl entropy bound in quantitative formLieb and Carlen have shown that mixed states with minimal Wehrl entropy are coherent states. We prove that mixed states with almost minimal Wehrl entropy are almost coherent states. This is proved in…Rupert L. Frank, Fabio Nicola, Paolo Tilli·Jul 26, 2023SaveLearn
Quantum Painlev\'e II Lax Pair and Quantum (Matrix) Analogues of Classical Painlev\'e II equationIn this article, we present a new quantum Painlev\'e II Lax pair which explicitly involves the Planck constant and an arbitrary field variable v so these two objects make this new pair…Muhammad Waseem, Irfan Mahmood, Hira Sohail·Jul 26, 2023SaveLearn
On the resolvent of H+A*+AWe present a much shorter and streamlined proof of an improved version of the results previously given in [A. Posilicano: On the Self-Adjointness of H+A*+A, Math. Phys. Anal. Geom. (2020)]…Andrea Posilicano·Jul 25, 2023SaveLearn
Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength resonatorsThe aim of this paper is fourfold: (i) to obtain explicit formulas for the eigenpairs of perturbed tridiagonal block Toeplitz matrices; (ii) to make use of such formulas in order to provide a…Habib Ammari, Silvio Barandun, Ping Liu·Jul 25, 2023SaveLearn
Gap distributions of Fourier quasicrystals via Lee-Yang polynomialsRecent work of Kurasov and Sarnak provides a method for constructing one-dimensional Fourier quasicrystals (FQ) from the torus zero sets of a special class of multivariate polynomials called Lee-Yang…Lior Alon, Cynthia Vinzant·Jul 25, 2023SaveLearn
Integrable operators, ∂-Problems, KP and NLS hierarchyWe develop the theory of integrable operators K acting on a domain of the complex plane with smooth boundary in analogy with the theory of integrable operators acting on contours of the…Marco Bertola, Tamara Grava, Giuseppe Orsatti·Jul 24, 2023SaveLearn