Lattice local integrable regularization of the Sine-Gordon modelWe study the local lattice integrable regularization of the Sine-Gordon model written down in terms of the lattice Bose-operators. We show that the local spin Hamiltonian obtained from the six-vertex…A. A. Ovchinnikov·Nov 8, 2022SaveLearn
The defocusing NLS equation with nonzero background: Painlev\'e asymptotics in two transition regionsIn this paper, we address the Painlev\'e aymptotics in the transition region ||:=|x2t| ≈ 1 to the Cauchy problem of the defocusing Schrodinger equation…Zhaoyu Wang, Engui Fan·Nov 7, 2022SaveLearn
Conservation laws, symmetries, and line solitons of a Kawahara-KP equationA generalization of the KP equation involving higher-order dispersion is studied. This equation appears in several physical applications. As new results, the Lie point symmetries are obtained and…Almudena P. Marquez, Maria L. Gandarias, Stephen C. Anco·Nov 7, 2022SaveLearn
Surgery transformations and spectral estimates of δ beam operatorsWe introduce δ type vertex conditions for beam operators, the fourth derivative operator, on metric graphs and study the effect of certain geometrical alterations (graph surgery) of the graph…Aftab Ali, Muhammad Usman·Nov 7, 2022SaveLearn
Ubiquity of bound states for the strongly coupled polaronWe study the spectrum of the Fr\"ohlich Hamiltonian for the polaron at fixed total momentum. We prove the existence of excited eigenvalues between the ground state energy and the essential spectrum…David Mitrouskas, Robert Seiringer·Nov 7, 2022SaveLearn
The tensorial representation of the distributional stress-energy quadrupole and its dynamicsWe investigate stress-energy tensors constructed from the covariant derivatives of delta functions on a worldline. Since covariant derivatives are used all the components transform as tensors. We…Jonathan Gratus, Spyridon Talaganis·Nov 7, 2022SaveLearn
The Fr\"ohlich Polaron at Strong Coupling -- Part II: Energy-Momentum Relation and Effective MassWe study the Fr\"ohlich polaron model in R3, and prove a lower bound on its ground state energy as a function of the total momentum. The bound is asymptotically sharp at large coupling.…Morris Brooks, Robert Seiringer·Nov 7, 2022SaveLearn
Perturbation of discriminant for one-dimensional discrete Schr\"odinger operator with sparse periodic potentialWe consider the one-dimensional discrete Schr\"odinger operator with complex-valued sparse periodic potential. The spectrum for a complex-valued periodic potential is a complicated compact set in the…Masahiro Kaminaga·Nov 7, 2022SaveLearn
Hyperheavenly spaces and their application in Walker and para-K\"ahler geometries: part II4-dimensional spaces equipped with congruences of null strings are considered. It is assumed that a space admits a congruence of expanding self-dual null strings and its self-dual part of the Weyl…Adam Chudecki·Nov 6, 2022SaveLearn
Integrable Ito equations with multiple noisesThe classification of scalar Ito equations with a single noise source which admit a so called standard symmetry and hence are -- by the Kozlov construction -- integrable is by now complete. In this…Giuseppe Gaeta, Miguel Angel Rodriguez·Nov 5, 2022SaveLearn
Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifoldsIn this paper we present canonical and canonoid transformations considered as global geometrical objects for Hamiltonian systems. Under the mathematical formalisms of symplectic, cosymplectic,…R. Azuaje, A. M. Escobar-Ruiz·Nov 5, 2022SaveLearn
Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetryWe consider 1+1-dimensional Dirac equation with rationally extended scalar potentials corresponding to the radial oscillator, the trigonometric Scarf and the hyperbolic Poschl-Teller potentials and…Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare et al.·Nov 4, 2022SaveLearn
Dyson diffusion on a curved contourWe define the Dyson diffusion process on a curved smooth closed contour in the plane and derive the Fokker-Planck equation for probability density. Its stationary solution is shown to be the…A. Zabrodin·Nov 4, 2022SaveLearn
Quantum field logicAlgebraic quantum field theory, or AQFT for short, is a rigorous analysis of the structure of relativistic quantum mechanics. It is formulated in terms of a net of operator algebras indexed by…H Freytes·Nov 4, 2022SaveLearn
Invertible subalgebrasWe introduce invertible subalgebras of local operator algebras on lattices. An invertible subalgebra is defined to be one such that every local operator can be locally expressed by elements of the…Jeongwan Haah·Nov 3, 2022SaveLearn
Formally Self-Adjoint Hamiltonian for the Hilbert-P\'olya ConjectureWe construct a formally self-adjoint Hamiltonian whose eigenvalues correspond to the nontrivial zeros of the Riemann zeta function. We consider a two-dimensional Hamiltonian which couples the…Enderalp Yakaboylu·Nov 3, 2022SaveLearn
On the Operator Origins of Classical and Quantum Wave FunctionsWe investigate operator algebraic origins of the classical Koopman-von Neumann wave function KvN as well as the quantum mechanical one QM. We introduce a formalism of Operator…Xerxes D. Arsiwalla, David Chester, Louis H. Kauffman·Nov 3, 2022SaveLearn
Gibbs states and their classical limitA continuous bundle of C*-algebras provides a rigorous framework to study the thermodynamic limit of quantum theories. If the bundle admits the additional structure of a strict deformation…Christiaan J. F. van de Ven·Nov 3, 2022SaveLearn
Bernoulli variables, classical exclusion processes and free probabilityWe present a new description of the known large deviation function of the classical symmetric simple exclusion process by exploiting its connection with the quantum symmetric simple exclusion…Michel Bauer, Denis Bernard, Philippe Biane et al.·Nov 3, 2022SaveLearn
Generating new gravitational solutions by matrix multiplicationExplicit solutions to the non-linear field equations of some gravitational theories can be obtained, by means of a Riemann-Hilbert approach, from a canonical Wiener-Hopf factorisation of certain…M. Cristina Câmara, Gabriel Lopes Cardoso·Nov 3, 2022SaveLearn
Exact physical quantities of a competing spin chain in the thermodynamic limitWe study the exact physical quantities of a competing spin chain which contains many interesting and meaningful couplings including the nearest neighbor, next nearest neighbor, chiral three spins,…Pengcheng Lu, Yi Qiao, Junpeng Cao et al.·Nov 3, 2022SaveLearn
Inter model sets in Rd are model setsWe show that any translate of a model set is a model set in some modified cut-and-project scheme. Restricting to Euclidean direct space, we show that any translate of an inter model set is a model…Christoph Richard, Nicolae Strungaru·Nov 2, 2022SaveLearn
Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torusWe compute the monodromy dependence of the isomonodromic tau function on a torus with n Fuchsian singularities and SL(N) residue matrices by using its explicit Fredholm determinant…Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko·Nov 2, 2022SaveLearn
Instability of electroweak homogeneous vacua in strong magnetic fieldsWe consider the classical vacua of the Weinberg-Salam (WS) model of electroweak forces. These are no-particle, static solutions to the WS equations minimizing the WS energy locally. We study the WS…Adam Gardner, Israel Michael Sigal·Nov 1, 2022SaveLearn
Asymmetric transport for magnetic Dirac equationsThis paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant…Solomon Quinn, Guillaume Bal·Nov 1, 2022SaveLearn