Nodal count for a random signing of a graph with disjoint cyclesLet G be a simple, connected graph on n vertices, and further assume that G has disjoint cycles. Let h be a real symmetric matrix supported on G (for example, a discrete Schr\"odinger…Lior Alon, Mark Goresky·Mar 1, 2024SaveLearn
Causal Fermion Systems and OctonionsWe compare the structures and methods in the theory of causal fermion systems with approaches to fundamental physics based on division algebras, in particular the octonions. We find that octonions…Felix Finster, Niels G. Gresnigt, J. M. Isidro et al.·Mar 1, 2024SaveLearn
Discrete Dynamics on Locally Conformal FrameworkIn this paper, we address the globalization problem of discrete Lagrangian and Hamiltonian dynamics in locally conformal framework.Oğul Esen, Ayten Gezici, Hasan Gümral·Mar 1, 2024SaveLearn
General Construction of Bra-Ket Formalism for Identical Particle Systems in Rigged Hilbert Space ApproachThis study discussed Dirac's bra-ket formalism for the identical particles system based on the rigged Hilbert space reformulated by R. Madrid [J. Phys A:Math. Gen. 37, 8129 (2004)]. The bra and ket…S. Ohmori, J. Takahashi·Mar 1, 2024SaveLearn
A Mathematical Model for Two Solutes Transport in a Poroelastic Material and Its ApplicationsUsing well-known mathematical foundations of the elasticity theory, a mathematical model for two solutes transport in a poroelastic material (soft tissue is a typical example) is suggested. It is…Roman Cherniha, Joanna Stachowska-Pietka, Jacek Waniewski·Mar 1, 2024SaveLearn
Probabilistic Analysis of the (q,2)-Fock Space: Vacuum Distribution and Moments of the Field OperatorThis paper primarily focuses on the investigation of the distribution of certain crucial operators with respect to significant states on the (q,2)-Fock space, for instance, the vacuum distribution of…Yungang Lu·Feb 29, 2024SaveLearn
Supersymmetric Quantum Fields via Quantum ProbabilityThe super version of imprimitivity theorem is available now to describe global supersymmetry of systems using the representations of super Lie groups (SLG). This result uses the equivalence between…Radhakrishnan Balu·Feb 29, 2024SaveLearn
Measurement Schemes in AQFT, Contextuality and the Wigner's Friend GedankenexperimentMeasurements have historically presented a problem for the consistent description of quantum theories, be it in non-relativistic quantum mechanics or in quantum field theory. Drawing on a recent…Felipe Dilho Alves·Feb 29, 2024SaveLearn
Transition of the semiclassical resonance widths across a tangential crossing energy-levelWe consider a 1D 2× 2 matrix-valued operator System0 with two semiclassical Schr\"odinger operators on the diagonal entries and small interactions on the off-diagonal ones. When the…Marouane Assal, Setsuro fujiie, Kenta Higuchi·Feb 29, 2024SaveLearn
Boom and bust cycles due to pseudospectra of matrices with unimodular spectraWe discuss dynamics obtained by increasing powers of non-normal matrices that are roots of the identity, and therefore have all eigenvalues on the unit circle. Naively, one would expect that the…Junaid Majeed Bhat, Jaš Bensa, Marko Žnidarič·Feb 29, 2024SaveLearn
Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator modelWe consider the classical Holling-Tanner model extended on 1D space by introducing the diffusion term. Making a reasonable simplification, the diffusive Holling-Tanner system is studied by means of…Roman Cherniha, Vasyl' Davydovych·Feb 29, 2024SaveLearn
The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their propertiesWe study a simplification of the well-known Shigesada-Kawasaki-Teramoto model, which consists of two nonlinear reaction-diffusion equations with cross-diffusion. A complete set of Q-conditional…Roman Cherniha, Vasyl' Davydovych, John R. King·Feb 29, 2024SaveLearn
Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUEWe consider a planar Coulomb gas ensemble of size N with the inverse temperature β=2 and external potential Q(z)=|z|2-2c |z-a|, where c>0 and a ∈ C. Equivalently, this…Sung-Soo Byun, Seong-Mi Seo, Meng Yang·Feb 29, 2024SaveLearn
A new interacting Fock space, the Quon algebra with operator parameter and its Wick's theoremMotivated by the creation-annihilation operators in a newly defined interacting Fock space, we initiate the introduction and the study of the Quon algebra. This algebra serves as an extension of the…Yungang Lu·Feb 29, 2024SaveLearn
Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions."The Comments are devoted to the paper 'Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions' (Int J Numer Methods Heat Fluid Flow. 2022;32:30723082), in which…Roman Cherniha·Feb 29, 2024SaveLearn
Exact solutions and automorphic systems of the geopotential forecast equationThe study of the recently constructed group foliation for the geopotential forecast equation is continued. The group foliation consists of two systems, namely the automorphic and resolving systems,…E. I. Kaptsov·Feb 27, 2024SaveLearn
Prequantisation from the path integral viewpointThe quantum mechanically admissible definitions of the factor [(i/)S(γ)] in the Feynman integral are put in bijection with the prequantisations of Kostant and Souriau. The…P A Horvathy·Feb 27, 2024SaveLearn
Spectral properties of two-dimensional half-space semi-Dirac semi-metalsThe paper deals with the semi-Dirac operator in a half-space arising in the description of quasiparticles in quantum mechanics as well as in semi-metals materials and related structures. It…Tuyen Vu·Feb 27, 2024SaveLearn
Out-of-time-ordered correlators for Wigner matricesWe consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general observables A and B in a mean field chaotic quantum system described by a random Wigner matrix as its…Giorgio Cipolloni, László Erdős, Joscha Henheik·Feb 27, 2024SaveLearn
Ground state energy of the dilute spin-polarized Fermi gas: Lower boundWe prove a lower bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. This correction…Asbjørn Bækgaard Lauritsen, Robert Seiringer·Feb 27, 2024SaveLearn
Type II Multi-indexed Little q-Jacobi and Little q-Laguerre PolynomialsFor the isospectral Darboux transformations of the discrete quantum mechanics with real shifts, there are two methods: type I and type II constructions. Based on the type I construction, the type I…Satoru Odake·Feb 27, 2024SaveLearn
On the variety of X-statesWe introduce the notion of an X-state on n-qubits. After taking the Zariski closure of the set of X-states in the space of all mixed states, we obtain a complex algebraic variety X that is…Luca Candelori, Vladimir Y. Chernyak, John R. Klein·Feb 27, 2024SaveLearn
Dimensional reduction formulae for spectral traces and Casimir energiesThis short letter considers the case of acoustic scattering by several obstacles in Rd+r for r,d ≥ 1 of the form × Rr, where is a smooth bounded…Alexander Strohmaier·Feb 26, 2024SaveLearn
Computation of marginal eigenvalue distributions in the Laguerre and Jacobi β ensemblesWe consider the problem of the exact computation of the marginal eigenvalue distributions in the Laguerre and Jacobi β ensembles. In the case β=1 this is a question of long standing in…Peter J. Forrester, Santosh Kumar·Feb 25, 2024SaveLearn
Diffraction by a set of collinear cracks on a square lattice: an iterative Wiener-Hopf methodThe diffraction of a time-harmonic plane wave on collinear finite defects in a square lattice is studied. This problem is reduced to a matrix Wiener-Hopf equation. This work adapts the recently…Elena Medvedeva, Raphael Assier, Anastasia Kisil·Feb 24, 2024SaveLearn