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Mathematical Physics papers — page 195

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Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
The Nelson model, describing a quantum mechanical particle linearly coupled to a bosonic field, exhibits the infrared problem in the sense that no ground state exists at arbitrary total momentum.…
David Hasler, Benjamin Hinrichs, Oliver SiebertFeb 14, 2023
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The linear CS/WZW bulk/boundary system in AQFT
This paper constructs in the framework of algebraic quantum field theory (AQFT) the linear Chern-Simons/Wess-Zumino-Witten system on a class of 3-manifolds M whose boundary ∂ M is…
Marco Benini, Alastair Grant-Stuart, Alexander SchenkelFeb 14, 2023
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On the geometric representation of the path integral reduction Jacobian in the path integral for interacting systems: The case of dependent coordinates in the description of reduced motion on the orbit space
A geometric representation is found for the previously obtained path integral reduction Jacobian in Wiener-type path integral when quantizing a model mechanical system, which is used to describe the…
S. N. StorchakFeb 13, 2023
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How many Keplerian arcs are there between two points of spacetime?
We consider the Keplerian arcs around a fixed Newtonian center joining two prescribed distinct positions in a prescribed flight time. We prove that, putting aside the "opposition case" where…
Alain Albouy, Antonio J. UreñaFeb 12, 2023
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Cosymplectic geometry, reductions, and energy-momentum methods with applications
Classical energy-momentum methods study the existence and stability properties of solutions of t-dependent Hamilton equations on symplectic manifolds whose evolution is given by their Hamiltonian…
J. de Lucas, A. Maskalaniec, B. M. ZaworaFeb 12, 2023
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A note on optimal transport and Monge-Amp\`ere geometry
We identify a novel connection between a recently introduced pseudo-Riemannian framework for optimal mass transport and the geometry of Monge-Amp\`ere equations. We show this correspondence by…
Roberto D'OnofrioFeb 11, 2023
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Lagrangian formalism and Noether-type theorems for second-order delay ODEs
The Lagrangian formalism for variational problem for second-order delay ordinary differential equations (DODEs) is developed. The Noether-type operator identities and theorems for DODEs of second…
Vladimir A. Dorodnitsyn, Roman V. Kozlov, Sergey V. MeleshkoFeb 11, 2023
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Superconformal structures of supersymmetric free fermion vertex algebras
In this paper, we define the shifted superconformal vector of supersymmetric charged free fermion vertex algebras, which is a 1-parameter deformation of the superconformal vector of the SUSY…
Sangwon YoonFeb 10, 2023
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Approximating the density of states for Poisson distributed random Schroedinger operators
We consider a Schroedinger operator with random potential distributed according to a Poisson process. We show that expectations of matrix elements of the resolvent as well as the density of states…
David Hasler, Jannis KobersteinFeb 10, 2023
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Geodesic motion on the symplectic leaf of SO(3) with distorted e(3) algebra and Liouville integrability of a free rigid body
The solutions to the Euler-Poisson equations are geodesic lines of SO(3) manifold with the metric determined by the inertia tensor. However, the Poisson structure on the corresponding symplectic…
Alexei A. DeriglazovFeb 9, 2023
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Optimal Semiclassical Regularity of Projection Operators and Strong Weyl Law
Projection operators arise naturally as one-particle density operators associated to Slater determinants in fields such as quantum mechanics and the study of determinantal processes. In the context…
Laurent LaflecheFeb 9, 2023
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Magnetic square lattice with vertex coupling of a preferred orientation
We analyze a square lattice graph in a magnetic field assuming that the vertex coupling is of a particular type violating the time reversal invariance. Calculating the spectrum numerically for…
Marzieh Baradaran, Pavel Exner, Jiří LipovskýFeb 9, 2023
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Gaussian diagrammatics from Circular Ensembles of random matrices
We uncover a hidden Gaussian ensemble inside each of the three circular ensembles of random matrices, which provide novel diagrammatic rules for the calculation of moments. The matrices involved are…
Marcel NovaesFeb 8, 2023
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Decoherence as a high-dimensional geometrical phenomenon
We develop a mathematical formalism that allows to study decoherence with a great level generality, so as to make it appear as a geometrical phenomenon between reservoirs of dimensions. It enables us…
Antoine SoulasFeb 8, 2023
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Continuation of the Stieltjes Series to the Large Regime by Finite-part Integration
We devise a prescription to utilize a novel convergent expansion in the strong-asymptotic regime for the Stieltjes integral and its generalizations [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to…
Christian D. Tica, Eric A. GalaponFeb 8, 2023
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The p-adic approximations of vertex functions via 3D-mirror symmetry
Using the 3D mirror symmetry we construct a system of polynomials Ts(z) with integral coefficients which solve the quantum differential equitation of X=T* Gr(k,n) modulo ps, where p is…
Andrey Smirnov, Alexander VarchenkoFeb 6, 2023
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Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous…
Eric W. Hester, Geoffrey M. VasilFeb 6, 2023
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Analytic states in quantum field theory on curved spacetimes
We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike…
Alexander Strohmaier, Edward WittenFeb 6, 2023
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The semiclassical limit of a quantum Zeno dynamics
Motivated by a quantum Zeno dynamics in a cavity quantum electrodynamics setting, we study the asymptotics of a family of symbols corresponding to a truncated momentum operator, in the semiclassical…
Fabio Deelan Cunden, Paolo Facchi, Marilena LigabòFeb 6, 2023
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A simple formula of the magnetic potential and of the stray field energy induced by a given magnetization
The primary aim of this paper is the derivation and the proof of a simple and tractable formula for the stray field energy in micromagnetic problems. The formula is based on an expansion in terms of…
Tahar Zamene BoulmezaoudFeb 6, 2023
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The geodesic flow of the BGPP metric is Liouville integrable
We prove that the geodesics equations corresponding to the BGPP metric are integrable in the Liouville sense. The SO(3,R) symmetry of the model allows to reduce the system from…
Andrzej J. Maciejewski, Maria Przybylska, Galliano ValentFeb 6, 2023
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Multiple skew orthogonal polynomials and 2-component Pfaff lattice hierarchy
In this paper, we introduce multiple skew-orthogonal polynomials and investigate their connections with classical integrable systems. By using Pfaffian techniques, we show that multiple…
Shi-Hao Li, Bo-Jian Shen, Jie Xiang et al.Feb 5, 2023
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Entanglement capacity of fermionic Gaussian states
We study the capacity of entanglement as an alternative to entanglement entropies in estimating the degree of entanglement of quantum bipartite systems over fermionic Gaussian states. In particular,…
Youyi Huang, Lu WeiFeb 4, 2023
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Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems
In this paper we present the theorem on Lie integrability by quadratures for time-independent Hamiltonian systems on symplectic and contact manifolds, and for time-dependent Hamiltonian systems on…
R. AzuajeFeb 4, 2023
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Exponentially decaying velocity bounds of quantum walks in periodic fields
We consider a class of discrete-time one-dimensional quantum walks, associated with CMV unitary matrices, in the presence of a local field. This class is parametrized by a transmission parameter…
Houssam Abdul-Rahman, Günter StolzFeb 3, 2023
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