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Mathematical Physics papers — page 136

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Exact solution of the propagation of ON-OFF signals by dispersive waves
The propagation of ON-OFF signals with dispersive waves is examined in this study. An integral-form exact solution for a simple ON-OFF switching event is derived, which holds for any dispersion…
Ken YamamotoMay 1, 2024
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Species of structure and physical dimensions
This study addresses the often underestimated importance of physical dimensions and units in the formal reconstruction of physical theories, focusing on structuralist approaches that use the concept…
Heinz-Jürgen SchmidtApr 30, 2024
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Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields
We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the U(1)-symmetry is broken, by using the new parametrization…
Zhirong Xin, Junpeng Cao, Wen-Li Yang et al.Apr 30, 2024
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Generating self-similar membrane solutions
Several ways to reduce to a first order ODE the non-linear PDE's governing the relativistic motion of an axially symmetric membrane in 4 space time dimensions, as well as examples for a previously…
Jens HoppeApr 29, 2024
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Harmonic locus and Calogero-Moser spaces
We study the harmonic locus consisting of the monodromy-free Schr\"odinger operators with rational potential and quadratic growth at infinity. It is known after Oblomkov that it can be identified…
Giovanni Felder, Alexander P. VeselovApr 29, 2024
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Power laws and logarithmic oscillations in diffusion processes on infinite countable ultrametric spaces
It is shown that if the initial condition of the Cauchy problem for the diffusion equation on a general infinite countable ultrametric space is spherically symmetric with respect to some point, then…
A. Kh. Bikulov, A. P. ZubarevApr 28, 2024
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Localizability in de Sitter space for 2+1 dimensions
We extended the notion of Newton-Wigner localization, already constructed in the bi-dimensional de Sitter space, to the tri-dimensional case for both principal and complementary series. We identify…
T. Raszeja, J. C. A. BarataApr 27, 2024
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Aharonov-Bohm effect and superoscillations
The path-integral technique in quantum mechanics provides an intuitive framework for comprehending particle propagation and scattering. Calculating the propagator for the Aharonov-Bohm potential fits…
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini et al.Apr 27, 2024
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Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections
In this paper, the asymptotic behaviors of the transition probability for two-level avoided crossings are studied under the limit where two parameters (adiabatic parameter and energy gap parameter)…
Kenta Higuchi, Takuya WatanabeApr 27, 2024
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On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems
We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dynamics associated to…
Eric B. Roon, Robert SimsApr 26, 2024
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Construction of a new (3 + 1)-dimensional KdV equation and its closed-form solutions with solitary wave behaviour and conserved vectors
This paper discusses the construction of a new (3+1)-dimensional Korteweg-de Vries (KdV) equation. By employing the KdV's recursion operator, we extract two equations, and with elemental…
Nardjess Benoudina, Chaudry Massood Khalique, Ji LinApr 26, 2024
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Finite volume simulation of a semi-linear Neumann problem (Keller-Segel model) on rectangular domains
In this study, the finite volume method is implemented for solving the problem of the semilinear equation: -d δ u+ u=uq (d, q>0) with a homogeneous Neumann boundary condition. This problem is…
Nardjess Benoudina, Fatima Zohra Boutaf, Nasserdine KechkarApr 26, 2024
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Inverse scattering for repulsive potential and strong singular interactions
In a previous work of 2014 on a quantum system governed by the repulsive Hamiltonian, the author proved uniqueness for short-range interactions described by a scattering operator consisting of…
Atsuhide IshidaApr 25, 2024
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Isometric Spectral Subtriples
We investigate the notion of subsystem in the framework of spectral triple as a generalized notion of noncommutative submanifold. In the case of manifolds, we consider several conditions on Dirac…
Paolo Bertozzini, Wanchalerm Sucpikarnon, Apimook WatcharangkoolApr 25, 2024
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Finding all solutions to the KZ equations in characteristic p
The KZ equations are differential equations satisfied by the correlation functions (on the Riemann sphere) of two-dimensional conformal field theories associated with an affine Lie algebra at a fixed…
Alexander Varchenko, Vadim VologodskyApr 25, 2024
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A New Type of Ill-Posed and Inverse Problems for Parabolic Equations
The time dependent experimental data are always collected at discrete grids with respect to the time t. The step size h of such a grid is always separated from zero by a certain positive number. The…
Michael V. KlibanovApr 24, 2024
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A complex geometric perspective on a,c anomalies
In four-dimensional conformal field theory, the numbers a and c are defined as coefficients of particular terms in the operator product expansion (OPE) of the energy-momentum tensor. With…
Brian R WilliamsApr 24, 2024
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Electric and magnetic waveguides in graphene: quantum and classical
Electric and magnetic waveguides are considered in planar Dirac materials like graphene as well as their classical version for relativistic particles of zero mass and electric charge. In order to…
David Barranco, Şengül Kuru, Javier NegroApr 24, 2024
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Truncated quantum observables and their semiclassical limit
For quantum observables H truncated on the range of orthogonal projections N of rank N, we study the corresponding Weyl symbol in the phase space in the semiclassical limit of vanishing…
Fabio Deelan Cunden, Marilena Ligabò, Maria Caterina SuscaApr 24, 2024
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Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
To connect conformal field theories (CFT) to probabilistic lattice models, recent works [HKV22, Ada23] have introduced a novel definition of local fields of the lattice models. Local fields in this…
David Adame-Carrillo, Delara Behzad, Kalle KytöläApr 23, 2024
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Supersymmetric Analysis of Spinning Cosmic String Spacetime Within External fields with Aharonov-Bohm interaction
The supersymmetric analysis of spinning cosmic string spacetime, involving an electron in magnetic fields, has been conducted. We examined the Dirac system within extended special functions known as…
O. Yesiltas, B. B. OnerApr 23, 2024
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Scattering and Pairing by Exchange Interactions
Quantum interactions exchanging different types of particles play a pivotal r\ole in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspective. Here, we…
J. -B. Bru, W. de Siqueira Pedra, A. Ramer dos SantosApr 23, 2024
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Non-trivial fixed point of a 4d fermionic theory, II. Anomalous exponent and scaling operators
We consider the Renormalization Group (RG) fixed-point theory associated with a fermionic 4d model in d=1,2,3 with fractional kinetic term, whose scaling dimension is fixed so that the…
Alessandro Giuliani, Vieri Mastropietro, Slava Rychkov et al.Apr 23, 2024
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Haag-Kastler stacks
This paper provides an alternative implementation of the principle of general local covariance for algebraic quantum field theories (AQFTs) which is more flexible than the original one by Brunetti,…
Marco Benini, Alastair Grant-Stuart, Alexander SchenkelApr 22, 2024
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Maxwell's and Stokes' operators associated with elliptic differential complexes
We propose a new technique to generate reasonable systems of partial differential equations (PDE) that could be potential candidates for depicting models in natural sciences related to quasi-linear…
Alexander Shlapunov, Alexander Polkovnikov, Victor MironovApr 22, 2024
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