Cluster expansions of particle system state with topological nearest-neighbor interactionThe article presents the concept of a cumulant representation for distribution functions describing the states of many-particle systems with topological nearest-neighbor interaction. A solution to…V. I. Gerasimenko, I. V. Gapyak·Mar 11, 2025SaveLearn
Asymptotic Scattering Relation for the Toda LatticeIn this paper we consider the Toda lattice (p(t); q(t)) at thermal equilibrium, meaning that its variables (pi) and (eqi-qi+1) are independent Gaussian and…Amol Aggarwal·Mar 11, 2025SaveLearn
On Minimizing Phase Space EnergiesA primary technical challenge for harnessing fusion energy is to control and extract energy from a non-thermal distribution of charged particles. The fact that phase space evolves by…Michael Updike, Nicholas Bohlsen, Hong Qin et al.·Mar 11, 2025SaveLearn
BV description of N = 1, D = 4 Supergravity in the first order formalismThis note examines the BV formulation of N=1, D=4 supergravity in the first-order Palatini--Cartan framework. Challenges in achieving an off-shell formulation are addressed by introducing…Alberto S. Cattaneo, Filippo Fila-Robattino·Mar 10, 2025SaveLearn
Tools for Supergravity in the spin coframe formalismThis paper contains a review of the theoretical foundations of Clifford algebras, spinors and spinor bundles in the so-called co-frame formalism. A compact index-free notation is introduced, along…Filippo Fila-Robattino·Mar 10, 2025SaveLearn
The Dry Ten Martini Problem for C2 cosine-type quasiperiodic Schr\"odinger operatorsThis paper solves ``The Dry Ten Martini Problem'' for C2 cosine-type quasiperiodic Schr\"odinger operators with large coupling constants and Diophantine frequencies, a model originally introduced…Lingrui Ge, Yiqian Wang, Jiahao Xu·Mar 10, 2025SaveLearn
Non-perturbative asymptotics of the eigenvalues of the spheroidal equationNew non-perturbative results on the eigenvalues of the spheroidal equation are presented. The results, found using an all orders WKB analysis, include a perturbative/non-perturbative (P/NP) relation…Max Meynig·Mar 9, 2025SaveLearn
Twenty dry Martinis for the Unitary Almost Mathieu OperatorWe solve the Dry Ten Martini Problem for the unitary almost Mathieu operator with Diophantine frequencies in the non-critical regime.Christopher Cedzich, Long Li·Mar 9, 2025SaveLearn
Electric potentials and field lines for uniformly-charged tube and cylinder expressed by Appell's hypergeometric function and integration of Z(u|m) sc(u|m)The closed-form expressions of electric potentials and field lines for a uniformly-charged tube and cylinder are presented using elliptic integrals and Appell's hypergeometric functions, where field…Daisuke A. Takahashi·Mar 9, 2025SaveLearn
Dynamics of Matrix Product States in the Heisenberg Picture: Projectivity, Ergodicity, and MixingThis paper introduces a Heisenberg picture approach to Matrix Product States (MPS), offering a rigorous yet intuitive framework to explore their structure and classification. MPS efficiently…Abdessatar Souissi, Amenallah Andolsi·Mar 9, 2025SaveLearn
Finding All Solutions of qKZ Equations in Characteristic pIn [J. Lond. Math. Soc. 109 (2024), e12884, 22 pages, arXiv:2208.09721], the difference qKZ equations were considered modulo a prime number p and a family of polynomial solutions of the qKZ…Evgeny Mukhin, Alexander Varchenko·Mar 8, 2025SaveLearn
Epstein curves and holography of the Schwarzian actionWe apply Epstein's construction of hypersurfaces in the hyperbolic disk D to prove identities between the Schwarzian action on $PSL2( R) Diff3…Franco Vargas Pallete, Yilin Wang, Catherine Wolfram·Mar 7, 2025SaveLearn
Characterization of the spectra of rotating truncated gas planets and inertia-gravity modesWe study the essential spectrum, which corresponds to inertia-gravity modes, of the system of equations governing a rotating and self-gravitating gas planet. With certain boundary conditions, we…Maarten V. de Hoop, Sean Holman, Alexei Iantchenko·Mar 7, 2025SaveLearn
Poisson homogeneous spaces of Poisson 2-groupsDrinfeld classified Poisson homogeneous spaces of a Poisson Lie group in terms of Dirac structures of the Lie bialgebra. In this paper, we study homogeneous spaces of a 2-group and develop Drinfeld…Honglei Lang, Zhangju Liu·Mar 7, 2025SaveLearn
Topological description of pure invariant states of the Weyl C*-algebraIn this work we study the topology of certain families of states of the Weyl C*-algebra with finite degrees of freedom. We focus on families of pure states characterized by symmetries and a…Giuseppe De Nittis, Santiago G. Rendel·Mar 6, 2025SaveLearn
Polynomial algebra from the Lie algebra reduction chain su(4) ⊃ su(2) × su(2): The supermultiplet modelThe supermultiplet model, based on the reduction chain su(4) ⊃ su(2) × su(2), is revisited through the lens of commutants within universal enveloping…Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette et al.·Mar 6, 2025SaveLearn
A non-homogeneous, non-stationary and path-dependent Markov anomalous diffusion modelA novel probabilistic framework for modelling anomalous diffusion is presented. The resulting process is Markovian, non-homogeneous, non-stationary, non-ergodic, and state-dependent. The fundamental…Nestor Barraza, Gabriel Pena, Juliana Gambini et al.·Mar 5, 2025SaveLearn
On the Lee-Yang property of some ferromagnetsAccording to the Lieb-Sokal theorem, the partition function, Z, of a ferromagnetic spin model has the Lee-Yang property if the single-spin partition function has it. In this note, it is shown that…Yuri Kozitsky·Mar 5, 2025SaveLearn
On the construction of polynomial Poisson algebras: a novel grading approachIn this work, we refine recent results on the explicit construction of polynomial algebras associated with commutants of subalgebras in enveloping algebras of Lie algebras by considering an…Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette et al.·Mar 5, 2025SaveLearn
Symmetries and Noether's theorem for multicontact field theoriesA geometric framework, called multicontact geometry, has recently been developed to study action-dependent field theories. In this work, we use this framework to analyze symmetries in…Xavier Rivas, Narciso Román-Roy, Bartosz M. Zawora·Mar 5, 2025SaveLearn
Noetherian Conservation Laws for PhotonsWe review the formulation of a Lorentz-covariant bispinorial wave function and wave equation for a single photon on a flat background. We show the existence of a 10-dimensional set of conservation…Michael K. -H. Kiessling, A. Shadi Tahvildar-Zadeh·Mar 5, 2025SaveLearn
Stable soap bubble clusters with multiple torus bubblesIn the last two centuries and more particularly in the last decades, the geometry of foams has become an important research domain, in mathematics, physics, material sciences and biology. Most of the…Fabrice Delbary·Mar 4, 2025SaveLearn
Charges in light cones and quenched infrared radiationThe creation of electrically charged states and the resulting electromagnetic fields are considered in space-time regions in which such experiments can actually be carried out, namely in…Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi et al.·Mar 4, 2025SaveLearn
Scalar products and norm of Bethe vectors in o2n+1 invariant integrable modelsWe compute scalar products of off-shell Bethe vectors in models with o2n+1 symmetry. The scalar products are expressed as a sum over partitions of the Bethe parameter sets, the building blocks…A. Liashyk, S. Pakuliak, E. Ragoucy·Mar 3, 2025SaveLearn
Ballistic electron transport described by a fourth-order Schr\"odinger equationA fourth-order Schr\"odinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion…Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano·Mar 3, 2025SaveLearn