Cauchy Data for 1D singular Schr\"odinger operatorsWe study semiclassical 1-D Schr\"odinger operators of the form Pu = -h2 u'' \,+\,xγ W(x) u on a finite interval [0,b] for 0 < γ ∈ R Q. We show that…Luc Hillairet, Jeremy L. Marzuola·Jul 8, 2025SaveLearn
Spectral analysis of The magnetic Laplacian acting on discrete funnelsWe study perturbations of the discrete magnetic Laplacian associated to discrete analogs of funnels. We perturb the metric in a long-range way. We establish a propagation estimate and a Limiting…Nassim Athmouni, Marwa Ennaceur, Sylvain Golénia·Jul 8, 2025SaveLearn
Mixed dynamics from the classical and quantum ergodic hierarchyBased on the classical and quantum ergodic hierarchy, a framework for mixed systems with a phase space composed by two uncorrelated integrable and chaotic regions is presented. It provides some…Ignacio S. Gomez, Federico H. Holik·Jul 8, 2025SaveLearn
On Araki-Type Trace InequalitiesIn this paper, we prove a trace inequality Tr[ f(A) As Bs ] ≤ Tr[ f(A) (A1/2 B A1/2 )s ] for any positive and monotone increasing function f, s∈[0,1], and positive…Po-Chieh Liu, Hao-Chung Cheng·Jul 7, 2025SaveLearn
An operator algebraic approach to fusion category symmetry on the latticeWe propose a framework for fusion category symmetry on the (1+1)D lattice in the infinite-volume limit by giving a formal interpretation of SymTFT decompositions. Our approach is based on…David E. Evans, Corey Jones·Jul 7, 2025SaveLearn
A new discretization of the Euler equation via the finite operator theoryWe propose a novel discretization procedure for the classical Euler equation based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and…Miguel A. Rodríguez, Piergiulio Tempesta·Jul 7, 2025SaveLearn
On an analogy between the Wiener--Hopf formulations of discrete and continuous diffraction problemsThis article is dedicated to unifying the framework used to derive the Wiener--Hopf equations arising from some discrete and continuous wave diffraction problems.The main tools are the discrete…A. I. Korolkov, R. C. Assier, A. V. Kisil·Jul 7, 2025SaveLearn
A description of classical field equations using extensions of graded Poisson bracketsAs it is well-known, Poisson brackets play a fundamental role both in mechanics and in classical field theories. In this paper we develop a theory of extensions of graded Poisson brackets in graded…Manuel de León, Rubén Izquierdo-López·Jul 7, 2025SaveLearn
Simply Connected Topology in Perturbed Vortices and Field-Reversed ConfigurationsZero-helicity vortices, such as Hill's vortex and field-reversed configurations (FRCs), have long been assumed to be toroidal in topology. This paper proves this assumption false: under arbitrarily…Taosif Ahsan, Samuel A. Cohen, Alan H. Glasser·Jul 7, 2025SaveLearn
About Fractional Calculus and its Applications in PhysicsHistorically the fractional calculus concept works an extended idea based on the question asked by Guillaume de L'H\opital to Gottfried Wilhelm Leibniz in 1695 about the notation dnf/dxn for…J. J. A. de Oliveira, C. F. L. Godinho·Jul 5, 2025SaveLearn
Resonances for Atoms in Dipole approximation of non-relativistic QEDWe consider atoms or molecules coupled to the quantized electromagnetic radiation field in a dipole approximation. We show the existence of ground states and resonance states in situations where the…David Hasler, Markus Lange·Jul 4, 2025SaveLearn
Jones Polynomials and their Zeros for a Family of Knots and LinksWe calculate Jones polynomials V(Hr,t) for a family of alternating knots and links Hr with arbitrarily many crossings r, by computing the Tutte polynomials T(G+(Hr),x,y) for the…Yue Chen, Robert Shrock·Jul 4, 2025SaveLearn
An infinite family of Dunkl type superintegrable curved Hamiltonians through coalgebra symmetry: Oscillator and Kepler-Coulomb modelsThis work aims to bridge the gap between Dunkl superintegrable systems and the coalgebra symmetry approach to superintegrability, and subsequently to recover known models and construct new ones. In…Francisco J. Herranz, Danilo Latini·Jul 4, 2025SaveLearn
Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermionsWe prove a Lieb-Robinson bound for lattice fermion models with polynomially decaying interactions, which can be used to show the locality of the quasi-local inverse Liouvillian. This allows us to…Stefan Teufel, Tom Wessel·Jul 4, 2025SaveLearn
On Frustration-Free Quantum Spin ModelsThe goal of our work is to characterize the landscape of the frustration-free quantum spin models over the Cayley graph of a finitely generated group G. This is achieved by establishing…Danilo Polo Ojito, Emil Prodan, Tom Stoiber·Jul 3, 2025SaveLearn
Relativistic Limits of Decoding: Critical Divergence of Kullback-Leibler Information and Free EnergyWe present a statistical mechanical framework based on the Kullback-Leibler divergence (KLD) to analyze the relativistic limits of decoding time-encoded information from a moving source. By modeling…Tatsuaki Tsuruyama·Jul 3, 2025SaveLearn
Competing edge and bulk localisation in non-reciprocal disordered systemsWe investigate the competing mechanisms of localisation in one-dimensional block disordered subwavelength resonator systems subject to non-reciprocal damping, induced by an imaginary gauge potential.…Habib Ammari, Silvio Barandun, Clemens Thalhammer et al.·Jul 2, 2025SaveLearn
Symbolic identification of tensor equations in multidimensional physical fieldsRecently, data-driven methods have shown great promise for discovering governing equations from simulation or experimental data. However, most existing approaches are limited to scalar equations,…Tianyi Chen, Hao Yang, Wenjun Ma et al.·Jul 2, 2025SaveLearn
On the resolvent convergence of discrete Dirac operators on 3D cubic latticesWe prove that the discrete Dirac operators in three dimensions converge to the continuum Dirac operators in the strong resolvent sense, but not in the norm resolvent sense.Karl Michael Schmidt, Tomio Umeda·Jul 2, 2025SaveLearn
Reconstruction of the observable universe from the integrated Sachs-Wolfe effectThe integrated Sachs-Wolfe (ISW) effect is a property of the Cosmic Microwave Background (CMB), in which photons from the CMB are gravitationally redshifted, causing the anisotropies in the CMB. An…Julianne Chung, Yiran Wang·Jul 2, 2025SaveLearn
Average-field approximation for very dilute almost-bosonic anyon gasesWe study the ground state of a system of N two-dimensional trapped almost-bosonic anyons subject to an external magnetic field. This setup can equivalently be viewed as bosons interacting through…François Louis Antoine Visconti·Jul 1, 2025SaveLearn
Lecture Notes on Operator Algebras and Quantum Field TheoryLecture notes prepared for the EMS--IAMP Spring School ``Symmetries and Measurement in Quantum Field Theory''. This set of lecture notes covers four lectures: 1. Operator Algebras and Quantum Field…Rainer Verch·Jul 1, 2025SaveLearn
Renormalization group based implicit function approach to connecting orbitsConnecting orbits are important invariant structures in the state space of nonlinear systems and various techniques are designed for their computation. However, a uniform analytic approximation of…Pengfei Guo, Yueheng Lan, Jianyong Qiao·Jul 1, 2025SaveLearn
A coupled multiscale model of the human cornea accounting for the collagenous microstructure and the extracellular matrixWe present a micro-structurally based finite element model of the human cornea, where we explicitly describe the collagen-crosslink architecture in terms of a trusswork of non-linear struts, and the…Christopher Miller, Maria Laura De Bellis, Anna Pandolfi·Jul 1, 2025SaveLearn
Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7This paper discusses to what extent the census of multiplicity-free fusion categories up to rank 7, proposed by the software package Anyonica and the anyonwiki website, can be regarded as a proper…Gert Vercleyen·Jul 1, 2025SaveLearn