Discussion on the Physics Problem of a Boat Crossing a RiverThis study addresses the boat river-crossing problem under non-uniform flow velocities by constructing three models: constant flow (Model 1), linear distribution (Model 2), and even-power function…Kyle Kou Yuchang, Simon Meng Zimin, Paul Zhang Yixing·Jun 3, 2026SaveLearn
No-Go Theorem for Quasiparticle BEC in the Spin-Boson ModelWe analyze the possibility of Bose-Einstein condensation (BEC) at finite temperature in the spin-boson model within the frameworks of functional integral representations and the resolvent algebra.…Yoshitsugu Sekine·Jun 3, 2026SaveLearn
A compositional framework for open classical kinematic systemsOur aim is to introduce a framework sufficiently general to describe the kinematics of a wide variety of open systems in classical mechanics while uniquely characterizing systems with specified…Andrea Abeje-Stine, David Weisbart·Jun 3, 2026SaveLearn
The cross states of a composite quantum system: separability and entanglement in any Hilbert space dimensionWe introduce a class of states of a composite quantum system, the so-called cross states, that turn out to play a major role in the theory of entanglement for a genuinely infinite-dimensional…Paolo Aniello·Jun 3, 2026SaveLearn
Efimov spectrum in the Born--Oppenheimer picture of 2+1 system with zero-range heavy-light interactionsWe study the Born-Oppenheimer approximation of a mass-imbalanced three-body system made of two heavy particles of mass M and one light particle of mass m for arbitrary angular momentum. In this…Hamidreza Saberbaghi·Jun 3, 2026SaveLearn
GUE Correlators and Large Genus AsymptoticsIn this paper, we use a formula obtained by Dubrovin and Yang (2017) to study certain asymptotic behaviors of GUE (Gaussian unitary ensemble) correlators. More precisely, we obtain large genus…Jiayi Zhao·Jun 3, 2026SaveLearn
Ballistic Transport for Discrete Multi-Dimensional Schrödinger Operators With Decaying PotentialWe consider the discrete Schrödinger operator H = -Δ+ V on 2(Zd) with a decaying potential, in arbitrary lattice dimension d∈N*, where Δ is the standard discrete…David Damanik, Zhiyan Zhao·Jun 3, 2026SaveLearn
An Elementary Perspective on the Dirac Equation and its Closest RelativesWe consider the Dirac equation in a real setting to show its close relationship to Maxwell's equation. In addition to analysing the classical Dirac mass term, we also inspect the alternative…Rainer Picard, Sascha Trostorff, Marcus Waurick·Jun 2, 2026SaveLearn
A-Generalized Hessian pre-Lie algebras and A-Generalized Yang--Baxter EquationsInspired by the problem of constructing (ω-)pre-Lie algebra structures on the dual space of a pre-Lie algebra, we introduce the \(A\)-generalized Yang--Baxter equation as a generalization of the…Yining Sun, Zeyu Hao, Ziyi Zhang et al.·Jun 2, 2026SaveLearn
Variational Loop Vertex Expansion for CumulantsExtending recent advances on constructive quantum field theory, we study cumulants of one of the simplest matrix models in the regime of bounded rank. We analyze both ordinary cumulants and scalar…Vincent Rivasseau·Jun 2, 2026SaveLearn
Asymptotics of complex b-6j symbolsWe study the b-6j symbols -- an analytic extension of the 6j-symbols for the principal series of the modular double of Uqsl(2; R) -- with complex index b,…Yunpeng Meng, Tian Yang·Jun 2, 2026SaveLearn
Interpolating non-Hermitian universality classes A and AI: eigenvalue density and transition regimeWe employ the recently developed Kac-Rice formalism for non-Hermitian random matrices to derive the joint distribution of an eigenvalue and its associated normalised right eigenvector in a Gaussian…Mark J. Crumpton, Francesco Mezzadri·Jun 2, 2026SaveLearn
The Huang--Yang formula for a two-dimensional Fermi gas: upper boundWe compute an upper bound on the ground state energy of a dilute two-dimensional Fermi gas with repulsive short-range interactions. Our bound can be viewed as the two-dimensional analogue of a…Christian Hainzl, Fabian Saxler, Robert Seiringer·Jun 2, 2026SaveLearn
Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operatorThe stochastic incompressible Navier-Stokes equations on 3, completed by the fluctuation-dissipation noise, have a Fokker-Planck generator that decomposes into a self-adjoint Ornstein-Uhlenbeck…Zhi-Wei Wang, Samuel L. Braunstein·Jun 2, 2026SaveLearn
A Variational Shape Optimisation Approach to Multi-region Relaxed Magnetohydrodynamic EquilibriaLet Λ⊂R3 be a region admitting a partition into n compact, connected subregions Λ1,…,Λn, each with smooth boundary. Consider a vector field B on Λ where B|Λi is…K. de Lacy, L. Noakes, D. Pfefferlé·Jun 2, 2026SaveLearn
Parity Oddness of Spin(1,4) Dirac Mass TermsIn the representation theory of Lorentzian orthogonal groups there are well known arguments as to why the parity operator P and the time reversal operator T should be realized…Craig McRae·Jun 2, 2026SaveLearn
ODE/IM Correspondence at the Free-Fermion Point. Laguerre Wronskians, Shifted Symmetric Functions, and Quantum KdVWe consider the ODE/IM correspondence for the value c=-2 of the Virasoro central charge (free-fermion point) and the associated quantum KdV model - the quantization of the second hamiltonian…Davide Masoero, Giulio Ruzza·Jun 2, 2026SaveLearn
Trapped bosons in mean field QED, nonlinear resonance cascades and dynamical BEC formationIn this paper, we study a system of bosons trapped in a confining potential, interacting with a quantized field of coherent photons in the mean field description of non-relativistic Quantum…Thomas Chen, Ali Mezher·Jun 2, 2026SaveLearn
Solving the tetrahedron equation by Teichmüller TQFTWe propose an approach to construct three-dimensional lattice models using line defects in state integral models on shaped triangulations of 3-manifolds. The Boltzmann weights for these models…Myungbo Shim, Xiaoyue Sun, Hao Ellery Wang et al.·Jun 2, 2026SaveLearn
Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limitIn this paper, we derive new results on the asymptotic behavior of eigenvalues of perturbed one-dimensional massive Dirac operators in the weak coupling limit. Two classes of potentials are…Danko Aldunate, Juan Manuel González-Brantes, Hanne Van Den Bosch·Jun 2, 2026SaveLearn
Delta-pulse solution in Zener viscoelastic modelWe derive the integral representation of the solution for the propagation of a delta-pulse (impulsive wave) in a semi-infinite, homogeneous, linear viscoelastic medium governed by the Zener model.…Andrea Mentrelli, Juan Luis Gonzalez-Santander, Francesco Mainardi·Jun 1, 2026SaveLearn
Bounds on the Bogoliubov--Hartree--Fock Energy of the Pauli--Fierz HamiltonianA variational analysis of the Bogoliubov--Hartree--Fock (BHF) energy of the translation-invariant, spinless Pauli--Fierz Hamiltonian with massless dispersion relation built up on work of the first…Volker Bach, Matthias Herdzik·Jun 1, 2026SaveLearn
Exponential thermalisation of viscous fluids on negatively curved manifoldsThe deterministic incompressible Navier-Stokes equations are physically incomplete: any viscous fluid at finite temperature must exhibit thermal fluctuations whose form is dictated by the…Samuel L. Braunstein, Zhi-Wei Wang·Jun 1, 2026SaveLearn
Higher-Rank Orthogonal Twists, APS Boundary Conditions, and O(2)-Equivariant Spectral Flow on a Warped CylinderWe study O(2)-equivariant spectral flow for Dirac operators on a finite warped cylinder equipped with fixed admissible regularized APS boundary conditions. The twisting bundle is a real higher-rank…Taro Kimura, Sanchita Sharma·Jun 1, 2026SaveLearn
Painlevé XXXIV Asymptotics for the Focusing mKdV Equation with Finite-Genus Background and Discrete SpectrumWe investigate the Cauchy problem for the focusing modified Korteweg--de Vries (mKdV) equation with finite-genus algebro-geometric quasi-periodic initial data. By applying the nonlinear…Ruihong Ma, Engui Fan·Jun 1, 2026SaveLearn