Heisenberg's S-matrix program and Feynman's divergence problemIn the present article, we assume that the first approximation of the scattering operator is given and that it has the logarithmic divergence. This first approximation allows us to construct the so…Lev Sakhnovich·Oct 24, 2025SaveLearn
Ground state energy of a dilute inhomogeneous Fermi gasWe study the ground state energy of a system of N fermions with two spin states in the large N limit. The particles are placed in an inhomogeneous trapping potential and interact via scaled…Thomas Gamet·Oct 24, 2025SaveLearn
New Best-Known Max-Cut Solution for the G63 Instance in the G-Set BenchmarkFor over two decades, the G-set benchmark has remained a cornerstone challenge for combinatorial optimization solvers. Remarkably, it continues to yield new best-known solutions even to the present…Nikhat Khan, Nikhil Shukla·Oct 24, 2025SaveLearn
The generalized adiabatic theorem for extended lattice systemsWe prove an adiabatic theorem for infinitely extended lattice fermion systems with gapped ground states, allowing perturbations that may close the gap. The Heisenberg dynamics on the CAR-algebra is…Lennart Becker, Stefan Teufel, Marius Wesle·Oct 23, 2025SaveLearn
Topological Orders from Reflection Positive Frustration-free HamiltoniansWe establish a framework with reflection positivity as the first principle for establishing the boundary theory of topologically ordered quantum spin systems. For any reflection positive…Zhengwei Liu, Zishuo Zhao·Oct 23, 2025SaveLearn
Kinetic localization via Poincar\'e-type inequalities and applications to the condensation of Bose gasesWe propose a simplified localization method for Bose gases, based on a Poincare-type inequality, which leads to a new derivation of Bose--Einstein condensation for dilute Bose gases beyond the…Jacky J. Chong, Hao Liang, Phan Thành Nam·Oct 23, 2025SaveLearn
Smooth sets of fields: A pedagogical introductionIn order to provide a good categorical setting to the many different spaces of fields arising in the description of physical theories, a pedagogical introduction to the categorical notion of smooth…Alberto Ibort, Arnau Mas·Oct 23, 2025SaveLearn
Strong-coupling asymptotics for anisotropic Rabi modelThe anisotropic quantum Rabi model provides a continuous interpolation between the quantum Rabi model and the Jaynes-Cummings model obtained via the rotating-wave approximation. In this paper, we…Masao Hirokawa, Fumio Hiroshima, DongYun Lee·Oct 23, 2025SaveLearn
The category of anyon sectors for non-abelian quantum double modelsWe study Kitaev's quantum double model for arbitrary finite gauge group in infinite volume, using an operator-algebraic approach. The quantum double model hosts anyonic excitations which can be…Alex Bols, Mahdie Hamdan, Pieter Naaijkens et al.·Oct 23, 2025SaveLearn
Finsler geometry in anisotropic superconductivity: a Ginzburg-Landau approachWe present a rigorous generalization of the classical Ginzburg--Landau model to smooth, compact Finsler manifolds without boundary. This framework provides a natural analytic setting for describing…Y. Alipour Fakhri·Oct 22, 2025SaveLearn
Identifying the simple finite-dimensional Lie algebras over C by means of simple sequencesA novel method of determining which Dynkin diagrams represent simple finite-dimensional Lie algebras over C is presented. It is based on a condition that is both necessary and sufficient…Kai Neergård·Oct 22, 2025SaveLearn
Resonance-induced nonlinear bound statesWe study nonlinear bound states -- time-harmonic and spatially decaying (L2) solutions -- of the nonlinear Schr\"odinger / Gross--Pitaevskii equations (NLS/GP) with a compactly supported linear…Jackson C. Turner, Michael I. Weinstein·Oct 22, 2025SaveLearn
On the maximum purity of absolutely separable bipartite statesIn this study, we investigate the problem of determining the maximum purity for absolutely separable and absolutely PPT quantum states. From the geometric viewpoint, this problem is equivalent to…Hoang Phi Dung, Vu The Khoi·Oct 22, 2025SaveLearn
On path integrals for wave functions taking p-adic valuesIn this paper, we construct a p-adic path integral via p-adic multiple integrals. This integral describes the evolution of a wave function (x), which is defined as a map from a domain in…Su Hu, Min-Soo Kim·Oct 21, 2025SaveLearn
Globalization of perturbative Chern-Simons theory on the moduli space of flat connections in the BV formalismWe study the perturbative path integral of Chern-Simons theory (the effective BV action on zero-modes) in Lorenz gauge, expanded around a (possibly non-acyclic) flat connection, as a family over the…Pavel Mnev, Konstantin Wernli·Oct 21, 2025SaveLearn
Dynamical boundary value problem for a viscoelastic half-space with cutThe dynamical boundary value problem for viscoelastic half-space with cut in the form of a strip is considered. The problem is reduced to the singular integral equation of first kind. Using the…N. Shavlakadze, N. Odishelidze, B. Pachulia et al.·Oct 21, 2025SaveLearn
Compactification of quasi-local algebras on the latticeWe introduce a compactification construction for abstract quasi-local C*-algebras over countable metric spaces equipped with an isometric group action which is functorial with respect to bounded…Jun Ikeda·Oct 20, 2025SaveLearn
Causal Coverage in Ordered Locales and SpacetimesWe develop relativistic causality theory in the setting of point-free topology by introducing a notion of causal coverage in ordered locales, generalising their canonical coverage relation to…Chris Heunen, Nesta van der Schaaf·Oct 20, 2025SaveLearn
Superintegrability of q,t-matrix models and quantum toroidal algebra recursionsq,t-deformed matrix models give rise to representations of the deformed Virasoro algebra and more generally of the quantum toroidal gl1 algebra. These representations are described in…Luca Cassia, Victor Mishnyakov·Oct 20, 2025SaveLearn
A formula for the edge density n-correction for two-dimensional Coulomb systemsIn connection with recent work on smallest gaps, C. Charlier proves that the 1-point function of a suitable planar Coulomb system \zj\1n, in the determinantal case with respect to an external…Yacin Ameur·Oct 19, 2025SaveLearn
A sufficient condition for the existence of smooth solutions of the relativistic cold plasma equations on any given time intervalIn terms of initial data, a sufficient condition for the smoothness of the solution to the Cauchy problem for one-dimensional relativistic cold plasma equations over any given time interval is found.…Olga S. Rozanova, Evgeniy V. Chizhonkov·Oct 18, 2025SaveLearn
Semiclassical limit of entropies and free energiesEntropy and free energy are central concepts in both statistical physics and information theory, with quantum and classical facets. In mathematics these concepts appear quite often in different…Zied Ammari, Michele Correggi, Marco Falconi et al.·Oct 17, 2025SaveLearn
Resonant Weighted Nonlocal Schr\"odinger Equation with Gauge Invariance, Conservation Laws and Measurable Phase DetuningWe present a gauge-invariant Schr\"odinger-type evolution that combines (i) weighted local diffusion, (ii) symmetric nonlocal exchange through a kernel operator, and (iii) a mean-free phase-resonant…L. Yildiz, D. Kayki, E. Gudekli·Oct 17, 2025SaveLearn
Exact solutions for the relativistic dynamics of a self-consistent system with electromagnetic and gravitational interaction within the Wigner-Vlasov formalismThis work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitational interactions.…E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva et al.·Oct 16, 2025SaveLearn
Quantum Knizhnik-Zamolodchikov Equations and Integrability of Quantum Field Theories with Time-dependent Interaction StrengthIn this paper we consider the problem of solving quantum field theories with time dependent interaction strengths. We show that the recently formulated framework [P. R. Pasnoori, Phys. Rev. B 112,…Parameshwar R. Pasnoori·Oct 16, 2025SaveLearn