The Z2 × Z2-graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞), and parastatistics Fock spacesThe parastatistics Fock spaces of order p corresponding to an infinite number of parafermions and parabosons with relative paraboson relations are constructed. The Fock spaces are lowest weight…N. I. Stoilova, J. Van der Jeugt·Dec 23, 2021SaveLearn
Almost everywhere ergodicity in quantum lattice modelsWe rigorously examine the ergodic properties of quantum lattice models with short range interactions, in the C* algebra formulation of statistical mechanics. Ergodicity results, in the context of…Dimitrios Ampelogiannis, Benjamin Doyon·Dec 23, 2021SaveLearn
Fredholm Pfaffian τ-functions for orthogonal isospectral and isomonodromic systemsWe extend the approach to τ-functions as Widom constants developed by Cafasso, Gavrylenko and Lisovyy to orthogonal loop group Drinfeld-Sokolov hierarchies and isomonodromic deformations systems.…M. Bertola, F. Del Monte, J. Harnad·Dec 23, 2021SaveLearn
Consecutive level spacings in the chiral Gaussian unitary ensemble: From the hard and soft edge to the bulkThe local spectral statistics of random matrices forms distinct universality classes, strongly depending on the position in the spectrum. Surprisingly, the spacing between consecutive eigenvalues at…G. Akemann, V. Gorski, M. Kieburg·Dec 23, 2021SaveLearn
Deformed Quantum Phase Spaces, Realizations, Star Products and TwistsWe review deformed quantum phase spaces and their realizations in terms of undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta and twist from…Stjepan Meljanac, Rina Štrajn·Dec 22, 2021SaveLearn
Second-order homogenization of periodic Schrödinger operators with highly oscillating potentialsWe consider the homogenization at second-order in of L-periodic Schrödinger operators with rapidly oscillating potentials of the form $H =-Δ+ -1…Éric Cancès, Louis Garrigue, David Gontier·Dec 22, 2021SaveLearn
On the convergence to the non-equilibrium steady state of a Langevin dynamics with widely separated time scales and different temperaturesWe study the solution of the two-temperatures Fokker-Planck equation and rigorously analyse its convergence towards an explicit non-equilibrium stationary measure for long time and two widely…Diego Alberici, Nicolas Macris, Emanuele Mingione·Dec 21, 2021SaveLearn
A Canonical Complex Structure and the Bosonic Signature Operator for Scalar Fields in Globally Hyperbolic SpacetimesThe bosonic signature operator is defined for Klein-Gordon fields and massless scalar fields on globally hyperbolic Lorentzian manifolds of infinite lifetime. The construction is based on an analysis…Felix Finster, Albert Much·Dec 21, 2021SaveLearn
Linear Bosonic Quantum Field Theories Arising from Causal Variational PrinciplesIt is shown that the linearized fields of causal variational principles give rise to linear bosonic quantum field theories. The properties of these field theories are studied and compared with the…Claudio Dappiaggi, Felix Finster, Marco Oppio·Dec 20, 2021SaveLearn
Celestial Mechanics Solutions where the Future is a Perfect Reflection of the PastNewton's equations of celestial mechanics are shown to possess a continuum of solutions in which the future trajectories of the N bodies are a perfect reflection of their past. These solutions…Ali Abdulhussein, Harry Gingold·Dec 20, 2021SaveLearn
Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpartWe solve the eigenvalue spectra for two quasi exactly solvable (QES) Schrödinger problems defined by the potentials $V(x;γ,η) = 4γ24(x) + V1(γ,η) 2(x) + η( η-1…E. Condori-Pozo, M. A. Reyes, H. C. Rosu·Dec 19, 2021SaveLearn
Transcendental properties of entropy-constrained setsFor information-theoretic quantities with an asymptotic operational characterization, the question arises whether an alternative single-shot characterization exists, possibly including an…Vjosa Blakaj, Michael M. Wolf·Dec 19, 2021SaveLearn
Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation forWe construct the exact spectral parameter dependent vertex R-matrix for the classical 3D N-state chiral Potts models, convenient for considering the model in context of the Bethe ansatz.…Sh. Khachatryan, A. Sedrakyan·Dec 18, 2021SaveLearn
Fermi acceleration in rotating drumsConsider hard balls in a bounded rotating drum. If there is no gravitation then there is no Fermi acceleration, i.e., the energy of the balls remains bounded forever. If there is gravitation, Fermi…Krzysztof Burdzy, Mauricio Duarte, Carl-Erik Gauthier et al.·Dec 18, 2021SaveLearn
Upper bounds of local electronic densities in moleculesThe eigenfunctions of electronic Hamiltonians determine the stable structures and dynamics of molecules through the local distributions of their densities. In this paper an a priori upper bound for…Sohei Ashida·Dec 17, 2021SaveLearn
Phase Diagram and Topological Expansion in the Complex Quartic Random Matrix ModelWe use the Riemann-Hilbert approach, together with string and Toda equations, to study the topological expansion in the quartic random matrix model. The coefficients of the topological expansion are…Pavel Bleher, Roozbeh Gharakhloo, Kenneth T-R McLaughlin·Dec 17, 2021SaveLearn
Discrete Orthogonality Relations for the Multi-Indexed Orthogonal Polynomials in Discrete Quantum Mechanics with Pure Imaginary ShiftsThe discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts are investigated. We show that the discrete orthogonality…Satoru Odake·Dec 17, 2021SaveLearn
The SU(3)⊃ SO(3) missing label problem and the analytical Bethe ansatzThe missing label for basis vectors of SU(3) representations corresponding to the reduction SU(3) ⊃ SO(3) can be provided by the eigenvalues of SO(3) scalars in the enveloping algebra of…Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet·Dec 17, 2021SaveLearn
Axioms for Quantum Yang-Mills Theories -- 1. Euclidean AxiomsThis paper extends the notion of Schwinger functions to quantum Yang-Mills theories and proposes the axioms they should satisfy. Two main features of this axiom scheme are that we assume existence of…Min Chul Lee·Dec 16, 2021SaveLearn
Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equationIn the context of the full line Schrodinger equation, we revisit the binary Darboux transformation (double commutation method) which inserts or removes any number of positive eigenvalues embedded…Alexei Rybkin·Dec 16, 2021SaveLearn
Computing the R-matrix of the quantum toroidal algebraWe consider the problem of the R-matrix of the quantum toroidal algebra Uq,t(gl1) in the Fock representation. Using the connection between the R-matrix R(u) (u being the…Alexandr Garbali, Andrei Neguţ·Dec 16, 2021SaveLearn
Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEsWe propose a thermodynamics-based learning strategy for non-equilibrium evolution equations based on Onsager's variational principle, which allows to write such PDEs in terms of two potentials:…Shenglin Huang, Zequn He, Bryan Chem et al.·Dec 16, 2021SaveLearn
Excitation spectrum for the Lee-Huang-Yang model for the bose gas in a periodic boxWe derive a new formula for excited many-body eigenstates of the approximate Hamiltonian of Lee, Huang, and Yang, which describes the weakly interacting bose gas in a periodic box. Our formula…Stephen Sorokanich·Dec 16, 2021SaveLearn
Clifford Algebraic approach to the De Donder-Weyl Hamiltonian theoryThe Clifford algebraic formulation of the Duffin-Kemmer-Petiau (DKP) algebras is applied to recast the De Donder-Weyl Hamiltonian (DWH) theory as an algebraic description independent of the matrix…Marco Cezar Barbosa Fernandes·Dec 15, 2021SaveLearn
Discrete nonlinear Fourier transforms and their inversesWe study two discretisations of the nonlinear Fourier transform of AKNS-ZS type, FE and FD. Transformation FD is suitable for studying the distributions of the form $u =…Pavle Saksida·Dec 15, 2021SaveLearn