On the characteristic form of g-valued zero-curvature representationsWe study g-valued zero-curvature representations (ZCRs) for partial differential equations in two independent variables from the perspective of their extension to the entire infinite jet…Jirina Jahnova·Aug 2, 2025SaveLearn
Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form FactorsIn this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wigner spontaneous…Marco Falconi, Benjamin Hinrichs, Javier Valentín Martín·Aug 1, 2025SaveLearn
Renormalization of generalized spin-boson models with critical ultraviolet divergencesWe provide a rigorous construction of generalized spin--boson models with commuting transition matrices and form factors exhibiting critical ultraviolet (UV) divergences. That is, we cover all…Benjamin Alvarez, Sascha Lill, Davide Lonigro et al.·Aug 1, 2025SaveLearn
Long-term behavior of the master equation on a countable network and approximation methods of the (stationary) solutions via finite subsystems in the thermodynamic limitThe Master equation on directed networks - also called the differential Chapman-Kolmogorov equation - is a linear differential equation, which describes the probability evolution in a discrete…Bernd Michael Fernengel, Thilo Gross, Wolfram Just·Aug 1, 2025SaveLearn
An analytic approach to the stress energy tensor in quantum field theoryWe discuss a framework for quantum fields in curved spacetimes that possess a stress energy tensor as a connection one form on a suitable moduli space of metrics. In generic spacetimes the existence…Alexander Strohmaier·Aug 1, 2025SaveLearn
Anomalous free energy expansions of planar Coulomb gases: multi-component and conformal singularityWe study the partition function Zn = ∫Cn Π1 j<k n |zj-zk|2 Πj=1n |zj|2c\, e-n V(zj)d2zjπ, where c>-1 and …Sung-Soo Byun·Aug 1, 2025SaveLearn
A Supergeometric Fa\`a di Bruno FormulaWe extend the multivariate Fa\`a di Bruno formula to the super case, where anticommuting odd coordinates are considered. The formula takes the same form as the classical case but contains some…Andreas Swerdlow·Jul 31, 2025SaveLearn
Derivations of two one-dimensional models for transversely curved shallow shells: one leads to relaxationWe study the -limit of sequences of variational problems for straight, transversely curved shallow shells, as the width of the planform goes to zero. The energy is of von…Paroni Roberto, Picchi Scardaoni Marco·Jul 31, 2025SaveLearn
Interrelation among Solvable Potentials and Extensions of SWKB Quantization ConditionThe exactly solvable Schr\"odinger equations with the conventional shape-invariant potentials are known to be related with each other through point cannonical transformations. In this paper, we…Yuta Nasuda·Jul 30, 2025SaveLearn
Green's function estimates for long-range quasi-periodic operators on Zd and applicationsWe establish quantitative Green's function estimates for a class of quasi-periodic (QP) operators on Zd with certain slowly decaying long-range hopping and analytic cosine type…Li Wen, Yuan Wu·Jul 29, 2025SaveLearn
A new upper bound on the specific free energy of dilute Bose gasesWe prove an upper bound for the free energy (per unit volume) of the dilute Bose gas in the thermodynamic limit, showing that the free energy at density and inverse temperature β differs…Giulia Basti, Chiara Boccato, Serena Cenatiempo et al.·Jul 28, 2025SaveLearn
Preliminary orbits with over-determined systems of Keplerian conservation lawsWe consider different choices of Keplerian conservation laws for the computation of preliminary orbits with two very short arcs (VSAs) of astrometric observations. In total we have 7 equations in 4…Clara Grassi, Giovanni Federico Gronchi·Jul 28, 2025SaveLearn
Steady state representations for the harmonic processIn this note we discuss how the matrix product solution for the steady state of the harmonic process is obtained from the solutions already known in the literature, i.e. the closed-form expression…Rouven Frassek·Jul 27, 2025SaveLearn
On correlation functions of the open XYZ spin 1/2 chain with boundary fields related by a constraintIn this paper, we consider the quantum XYZ open spin-1/2 chain with boundary fields. We focus on the particular case in which the six boundary parameters are related by a single constraint enabling…G. Niccoli, V. Terras·Jul 27, 2025SaveLearn
Virasoro constraints for topological recursionThis is the second paper in a series on Virasoro constraints for Cohomological Field Theory. We derive the ancestor Virasoro constraints for the topological recursion (TR) for an arbitrary…Shuai Guo, Qingsheng Zhang·Jul 27, 2025SaveLearn
On Andr\'eka's Conjecture that special relativity is the only possible conceptual reduct of classical kinematicsIn this paper, we prove a pure mathematical result which has important implications for the history and philosophy of classical physics and the conceptual origins of relativity theory. In formal…Judit Madarász, Mike Stannett, Gergely Székely·Jul 26, 2025SaveLearn
Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamicsWe establish asymptotically sharp semi-algebraic discrepancy estimates for multi-frequency shift sequences. As an application, we obtain novel upper bounds for the quantum dynamics of long-range…Wencai Liu, Matthew Powell, Yiding Max Tang et al.·Jul 26, 2025SaveLearn
Geometric Representation of Generalized Coherent States and their Symplectic Capacities: A Synthetic ApproachIn this work we review, complete, and synthesize results linking generalized coherent stages (nondegradable Gaussian wavefunctions) to the notions of Fermi ellipsoids, quantum blobs, and microlocal…Maurice de Gosson·Jul 25, 2025SaveLearn
Recursive spectral relations and the charge versus neutral gap in fractional quantum Hall systemsWe consider quantum lattice Hamiltonians and derive recursive spectral relations bridging successive particle number sectors. One relation gives conditions under which the charge gap dominates the…Marius Lemm, Bruno Nachtergaele, Simone Warzel et al.·Jul 24, 2025SaveLearn
Non-Robustness of the Zero-Temperature-Limit Gibbs Measures to Perturbations of the PotentialThe robustness of properties of a statistical physics model to slight perturbations in the exact local interactions of the model is a very relevant philosophical question, considering real-life…Léo Gayral, Mathieu Sablik·Jul 24, 2025SaveLearn
Symmetries of the periodic Fredkin chainThe Fredkin chain is a spin-1/2 model with interaction of three nearest neighbors. In the case of periodic boundary conditions, the ground state is degenerate and can be described in terms of…Andrei G. Pronko·Jul 24, 2025SaveLearn
A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC)As popular approximations to sharp-interface models, the Cahn-Hilliard type phase-field models are usually used to simulate interface dynamics with volume conservation. However, the convergence rate…Zeyu Zhou, Wei Jiang, Tiezheng Qian et al.·Jul 24, 2025SaveLearn
Spectral analysis of q-deformed unitary ensembles with the Al-Salam--Carlitz weightWe study q-deformed random unitary ensembles associated with the weight function of the Al-Salam--Carlitz orthogonal polynomials, indexed by a parameter a < 0. In the special case a = -1, the…Sung-Soo Byun, Yeong-Gwang Jung, Jaeseong Oh·Jul 24, 2025SaveLearn
Breaking the permutation character of diffeomorphisms on spinor structuresWe investigate the impact of diffeomorphisms where more than one nonequivalent spinor structure is built upon a given base manifold endowed with nontrivial topology. We call attention to the fact…J. M. Hoff da Silva·Jul 23, 2025SaveLearn
Multifold degeneracy points of quantum systems and singularities of matrix varietiesParameter-dependent quantum systems often exhibit energy degeneracy points, whose comprehensive description naturally lead to the application of methods from singularity theory. A prime example is an…György Frank, András Pályi, Gergő Pintér et al.·Jul 23, 2025SaveLearn