The Geometry of Fixed-Magnetization Spin Systems at Low TemperatureSpin systems are fundamental models of statistical physics that provide insight into collective behavior across scientific domains. Their interest to computer science stems in part from the deep…Jacob Calvert, Shunhao Oh, Dana Randall·Nov 6, 2024SaveLearn
Time-Varying Energy Landscapes and Temperature paths: Dynamic Transition Rates in locally Ultrametric Complex SystemsIn this work, we study the dynamics of complex systems with time-dependent transition rates, focusing on p-adic analysis in modeling such systems. Starting from the master equation that governs the…Ángel Morán Ledezma·Nov 5, 2024SaveLearn
On the Equivalence Between the Schrodinger Equation in Quantum Mechanics and the Euler-Bernoulli Equation in Elasticity TheoryIn this note, we show that the Schrodinger equation in quantum mechanics is mathematically equivalent to the Euler-Bernoulli equation for vibrating beams and plates in elasticity theory, with…Igor Volovich·Nov 5, 2024SaveLearn
Webs and multiwebs for the symplectic groupWe define 2n-multiwebs on planar graphs and discuss their relation with Sp(2n)-webs. On a planar graph with a symplectic local system we define a matrix whose Pfaffian is the sum of…Richard Kenyon, Haihan Wu·Nov 5, 2024SaveLearn
Interactions of soliton and mean field in KdV equation with well type initial dataFor the KdV equation with well-type initial value, the interaction between the trial soliton and the mean field is studied. The well initial value will lead to the appearance of rarefaction wave and…Ruizhi Gong, Deng-Shan Wang·Nov 5, 2024SaveLearn
Universal enveloping algebras of weighted differential Poisson algebrasThe λ-differential operators and modified λ-differential operators are generalizations of classical differential operators. This paper introduces the notions of λ-differential…Ying Chen, Chuangchuang Kang, Jiafeng Lü·Nov 5, 2024SaveLearn
Matrix Elements and Characters of the Discrete Series ("Massive") Unitary Irreducible Representations of Sp(4,R)This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp(4,R) group. With an isomorphic relationship to the…Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan·Nov 5, 2024SaveLearn
A new family of ladder operators for macroscopic systems, with applicationsIn a series of recent scientific contributions the role of bosonic and fermionic ladder operators in a macroscopic realm has been investigated. Creation, annihilation and number operators have been…Fabio Bagarello·Nov 5, 2024SaveLearn
The Cauchy problem for semi-linear Klein-Gordon equations in Friedmann-Lema\itre-Robertson-Walker spacetimesThe Cauchy problem for semi-linear Klein-Gordon equations is considered in Friedmann-Lema\itre-Robertson-Walker spacetimes. The local and global well-posedness of the Cauchy problem is considered in…Makoto Nakamura, Takuma Yoshizumi·Nov 5, 2024SaveLearn
On classical aspects of Bose-Einstein condensationBerezin and Weyl quantization are renown procedures for mapping, commutative Poisson algebras of observables to their non-commutative, quantum counterparts. The latter is famous for its use on Weyl…Lorenzo Pettinari·Nov 4, 2024SaveLearn
Thoughts about potentials with finite-band spectrum and finite-dimensional reductions of integrable systemsWe repeat, using methods developed for BKM systems, the famous results of S. Novikov (1974), J. Moser (1981, 1982) , and A. Veselov (1980) that relate Schr\"odinger-Hill operators with finite-band…Andrey Yu. Konyaev, Vladimir S. Matveev·Nov 4, 2024SaveLearn
Ramsey Approach to Quantum MechanicsRamsey theory enables re-shaping of the basic ideas of quantum mechanics. Quantum observables represented by linear Hermitian operators are seen as the vertices of a graph. Relations of commutation…Edward Bormashenko, Nir Shvalb·Nov 4, 2024SaveLearn
On Irreversibility and Stochastic Systems; Part TwoWe attempt to characterize irreversibility of a dynamical system from the existence of different forward and backward mathematical representations depending on the direction of the time arrow. Such…Giorgio Picci·Nov 3, 2024SaveLearn
Pulsation of quantum walk on Johnson graphWe propose a phenomenon of discrete-time quantum walks on graphs called the pulsation, which is a generalization of a phenomenon in the quantum searches. This phenomenon is discussed on a composite…Taisuke Hosaka, Etsuo Segawa·Nov 3, 2024SaveLearn
Duality of Navier-Stokes to a one-dimensional systemThe Navier--Stokes (NS) equations describe fluid dynamics through a high-dimensional, nonlinear system of partial differential equations (PDEs). Despite their fundamental importance, their behavior…Alexander Migdal·Nov 3, 2024SaveLearn
Anyonic symmetry fractionalization in SET phasesWe consider the anyonic spin systems with a global symmetry, the so-called symmetry enriched topological (SET) phases. We introduce the phase characterizing the symmetry fractionalization of the…Jose Garre Rubio, Yoshiko Ogata·Nov 2, 2024SaveLearn
Degeneracies In a Weighted Sum of Two SquaresThis work is an attempt to classify and quantify instances when a weighted sum of two squares of positive integers, 3n12+n22, can be realized in more than one way. Our project was inspired…Ishan Vinayagam Ramesh, Maxim Olshanii·Nov 1, 2024SaveLearn
Feynman integral in QFT and white noiseWe present a rigorous construction of the Feynman integral on the compactified Einstein Universe (EU) using white noise calculus. Presented construction of the functional averaging may also be…Jaroslaw Wawrzycki·Nov 1, 2024SaveLearn
Quantum dynamical bounds for long-range operators with skew-shift potentialsWe employ Weyl's method and Vinogradov's method to analyze skew-shift dynamics on semi-algebraic sets. Consequently, we improve the quantum dynamical upper bounds of Jitomirskaya-Powell, Liu, and…Wencai Liu, Matthew Powell, Xueyin Wang·Oct 31, 2024SaveLearn
2D magnetic stabilityThis article is a contribution to the proceedings of the 33rd/35th International Colloquium on Group Theoretical Methods in Physics (ICGTMP, Group33/35) held in Cotonou, Benin, July 15-19, 2024. The…Douglas Lundholm·Oct 31, 2024SaveLearn
Some informational inequalities involving generalized trigonometric functions and a new class of generalized momentsIn this work, we define a family of probability densities involving the generalized trigonometric functions defined by Dr\'abek and Man\'asevich [1], which we name Generalized Trigonometric…David Puertas-Centeno, Steeve Zozor·Oct 31, 2024SaveLearn
A space-adiabatic approach for bulk-defect correspondences in lattice models of topological insulatorsIn space-adiabatic approaches one can approximate Hamiltonians that are modulated slowly in space by phase-space functions that depend on position and momentum. In this paper, we establish a rigorous…Danilo Polo Ojito, Emil Prodan, Tom Stoiber·Oct 31, 2024SaveLearn
Finite difference calculus in the continuumThe paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite difference operators…Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov et al.·Oct 31, 2024SaveLearn
Acoustic wave diffraction by a quadrant of sound-soft scatterersMotivated by research in metamaterials, we consider the challenging problem of acoustic wave scattering by a doubly periodic quadrant of sound-soft scatterers arranged in a square formation, which we…Matthew Nethercote, Anastasia Kisil, Raphael Assier·Oct 31, 2024SaveLearn
Characterization of symmetries of contact Hamiltonian systemsThis paper explores the relationship between Cartan symmetries, dynamical similarities, and dynamical symmetries in contact Hamiltonian mechanics. By introducing an alternative decomposition of…Federico Zadra, Marcello Seri·Oct 30, 2024SaveLearn