The transverse matter HamiltonianEnrico Fermi in 1932 used classical Gauss equation to derive the Coulomb density--density interaction from the longitudinal electromagnetic potential. In this work we extend the Fermi procedure to…Andrea Marini, Kai Wu, Riccardo Reho·Aug 21, 2026SaveLearn
Axiomatization of the Levin--Wen Wave FunctionThe Levin--Wen model provides a lattice realization of topological orders associated with a given unitary fusion category. A longstanding open problem is to characterize Levin--Wen ground-state wave…Zhengwei Liu, Zishuo Zhao·Aug 21, 2026SaveLearn
Bethe-root configurations and spectral degeneracy in the open XXZ chain with degenerate boundariesWe investigate the structure of Bethe-root configurations in the spin-1/2 XXZ chain with degenerate open boundaries. The physical solutions of the Bethe Ansatz equations are classified into three…Shizhang Wu, Shu Chen, Junpeng Cao et al.·Aug 21, 2026SaveLearn
On quantum channels: extreme points, topology, and categorical propertiesIn this thesis, quantum channels are studied from the point of view of Mathematics. We studied the CPTP (completely positive trace preserving) and UCPTP channels, the latter being the unital…J. M. S. T. da Silva·Aug 21, 2026SaveLearn
The Landau-Dirac operator with shell interactions: self-adjointness and clusteringWe consider the two-dimensional Dirac operator with constant magnetic field that is perturbed by a combination of electrostatic and Lorentz-scalar delta interactions with variable coefficients…Badreddine Benhellal, Vincent Bruneau, Pablo Miranda·Aug 21, 2026SaveLearn
Moore--Read construction and explicit monodromies of Laughlin states on Riemann surfacesWe revisit the Moore--Read construction of the ν=1/k Laughlin states on compact Riemann surfaces, deriving their conformal blocks from U(1)k Chern--Simons theory through the CS/WZW…Kiyoon Eum·Aug 20, 2026SaveLearn
An adaptive weighted extrapolation neural network for dispersive shock waves generated by square-root initial condition of the KdV equationSimulating dispersive shock waves (DSWs) using physics-informed neural networks (PINNs) presents significant numerical difficulties. In particular, the square-root initial condition exhibits…Xuan-Jie Wang, Rui Guo, An-Yao Jin et al.·Aug 19, 2026SaveLearn
The modular energy range of an interval in chiral conformal field theoryWe determine exactly the range of the modular Hamiltonian of an interval in a chiral conformal field theory over states of bounded energy. For an interval of length R in a theory of central charge…Samuel L. Braunstein, Zhi-Wei Wang·Aug 19, 2026SaveLearn
Gaudin models for some classical multivariate distributionsRepresentations of the Kohno-Drinfeld Lie algebra associated with several classical multivariate distributions have played an important role in recent developments in the theory of quantum…Plamen Iliev·Aug 19, 2026SaveLearn
Cluster Representation of Renormalization Group Transformations and a Rigorous Proof for Convergence of the RG-Flow of the Ising Model to Trivial Fixed Points away from CriticalityMany rigorous results in the modern era of statistical mechanics have been obtained through geometrical representations. A much studied tool in this setting is the random cluster representation of…Fabio Arz·Aug 19, 2026SaveLearn
A hypercomplex partition function for dissipative quantum field theoryWe develop a finite-temperature formulation for a hypercomplex dissipative quantum field theory [1], using the imaginary-time path-integral approach and the idempotent structure of the hypercomplex…O. Cruz-Limón, C. Ramírez-Romero, R. Cartas-Fuentevilla·Aug 19, 2026SaveLearn
The Decoherence Exponent: Stable Phase Noise and Constraints on Objective State ReductionLet Lu be a symmetric Levy process representing an unobserved phase lift, coupling to a quantum system via charge Q. Averaging eiLuQ gives a completely positive dephasing semigroup. If the…Milen V. Velev, Ivo D. Dinov·Aug 18, 2026SaveLearn
Cohomology for solutions of polygon equationsPolygon equations form a family of equations generalizing the pentagon equation. In this paper, we construct semi-simplicial sets of permitted colorings associated with set-theoretic solutions of…Serban Matei Mihalache, Tomoro Mochida·Aug 18, 2026SaveLearn
Romanovski polynomials, Gegenbauer connections, and su(1,1) ladder structuresWe study the monic Romanovski (pseudo-Jacobi) polynomials with degree dependent parameters βK=-K and αK=c/(K+1). We write out the parameter preserving first order ladder relations at fixed…José A. Vallejo, Mariana Kirchbach·Aug 18, 2026SaveLearn
A Projected Semiexplicit Integrator for Dissipative Systems with Configuration-Dependent Kinetic Energy: Contact-Herglotz Formulation and BenchmarksContact Hamiltonian dynamics gives dissipative mechanics an intrinsic action variable, but explicit contact splittings reach only kinetic energies whose terms are exactly integrable:…Lorena Loera-Galeana, Santiago Mejía, Espartaco Alvarado et al.·Aug 17, 2026SaveLearn
Asymptotic analysis of a Fredholm determinant occurring in the description of the dynamical correlation functions of the Lieb--Liniger Bose gasWe perform a large-x asymptotic analysis of the Fredholm determinant of an integrable integral operator with generalized sine kernel, where x controls the strength of the oscillations along the…Frank Göhmann, Karol K. Kozlowski, Mikhail D. Minin·Aug 17, 2026SaveLearn
Symmetry-Fixed Holonomies and Spectral Isolation in Two-Cycle Photonic Geometries A Square Parent Manifold for a Qubit and a Hexagonal Qutrit ManifoldA system with two periodic directions carries two commuting holonomies \(a=(u,v)∈2/2\). We determine their distinguished values while separating lattice, arithmetic, and observable effects.…Michel Planat·Aug 17, 2026SaveLearn
Quantized Bertrand models on two-dimensional spaces of constant curvatureDiscussed are Bertrand systems on two-dimensional spaces of constant curvature, i.e. sphere and pseudosphere (Lobachevsky space). These models often involve applying quantization techniques, such as…Agnieszka Martens·Aug 16, 2026SaveLearn
Disentangling Measurement Protocol from Material Physics in Isotypic and Anisotypic SiC/Si Heterojunctions: A Metrology-Driven Study for Betavoltaic Energy ConversionWe compare isotypic (n-SiC/n-Si) and anisotypic (n-SiC/p-Si) heterojunctions using Kelvin probe force microscopy, scanning tunnelling spectroscopy, precision electrical measurements with a Keithley…Mikhail V. Dolgopolov·Aug 15, 2026SaveLearn
Energy dissipation in linear viscoelasticityWe compare the specific dissipation Q-1( ω) for the Becker, Lomnitz, and Lambert models in linear viscoelasticity. Graphically, the specific dissipation of these models behaves…Juan Luis Gonzalez-Santander, Francesco Mainardi·Aug 15, 2026SaveLearn
On Physical Components of Tensors in Elasticity and InelasticityWidely used in mechanics and mathematical physics, physical components remove the inherent coordinate-dependent scaling in curvilinear coordinates, yielding components of consistent physical…Souhayl Sadik, Arash Yavari·Aug 15, 2026SaveLearn
String-Monodromy Rigidity from Six-Point ConsistencyCan the characteristic monodromy of string scattering be derived from S-matrix consistency alone, without assuming a worldsheet? We show that finite-particle consistency fixes it to a sharply defined…Jianqi Sheng·Aug 14, 2026SaveLearn
The Okinawa Lectures on EntropyAfter a historical introduction, the most important classical and quantum entropies are introduced as constructions in classical and quantum probability theory. Classical entropies are studied from…Klaas Landsman·Aug 14, 2026SaveLearn
A semiclassical limit of reduced Hartree-Fock theory at positive temperatureIt is established that the reduced Hartree-Fock grand potential at positive temperature converges in the semiclassical limit to a Thomas-Fermi grand potential. In particular, a density-potential dual…Dominic Shillingford·Aug 14, 2026SaveLearn
Form factors of field exponentials in the 1+1 dimensional Sine-Gordon modelThis work provides explicit expressions, in all sectors of the Fock space: soliton, antisoliton and breather, for the fundamental building blocks -the form factors- of the generalised integral…Karol K. Kozlowski, Alex Simon·Aug 14, 2026SaveLearn