Lévy flights and nonlocal quantum dynamics
type: Item
instance of: scholarly article
title: Lévy flights and nonlocal quantum dynamics
zbMATH Open document ID: 1284.81012
DOI: 10.1063/1.4814049
author: Piotr Garbaczewski
author: Vladimir Stephanovich
published in: Journal of Mathematical Physics
publication date: 2014-04-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1302.1478
Mathematics Subject Classification ID: 81P05
Mathematics Subject Classification ID: 60G51
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 81Q40
Mathematics Subject Classification ID: 70H40
Mathematics Subject Classification ID: 81V80
zbMATH DE Number: 6280669
MaRDI profile type: Publication
OpenAlex ID: W1971775998
arXiv ID: 1302.1478
cites work: The Fokker-Planck equation. Methods of solution and applications.
cites work: A remark on the connection between stochastic mechanics and the heat equation
cites work: Q5552132
cites work: Stochastic mechanics of a relativistic spinless particle
cites work: The pseudodifferential operator square root of the Klein–Gordon equation
cites work: Reconstruction of dynamics from an eigenstate
cites work: Cauchy noise and affiliated stochastic processes
cites work: Feynman-Kac-type theorems and Gibbs measures on path space. With applications to rigorous quantum field theory.
cites work: Some new generating functions for the Hermite polynomials
cites work: Position Operators and Localizability of Quantum Systems Described by Finite- and Infinite-Dimensional Wave Equations
cites work: The uncertainty principle: A mathematical survey
cites work: Minimal position-velocity uncertainty wave packets in relativistic and non-relativistic quantum mechanics
cites work: Indeterminacy relations in random dynamics
cites work: Differential entropy and dynamics of uncertainty
cites work: The role of the Riemann–Silberstein vector in classical and quantum theories of electromagnetism
cites work: Q3264102
cites work: Q5752942
cites work: Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
cites work: Lévy–Schrödinger wave packets
cites work: Fractional Schrödinger equation for a particle moving in a potential well
cites work: Q5576969
cites work: Ornstein-Uhlenbeck-Cauchy process.
cites work: Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
cites work: Bessel potentials, hitting distributions and Green functions
cites work: Schrödinger equations with fractional Laplacians
cites work: Applications of continuity and discontinuity of a fractional derivative of the wave functions to fractional quantum mechanics
cites work: Particle Aspect of the Electromagnetic Field Equations
cites work: Q3084090
cites work: Q3999255
cites work: DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS
cites work: Relativistic harmonic oscillator
cites work: On the nonlocality of the fractional Schrödinger equation
cites work: On the consistency of the solutions of the space fractional Schrödinger equation
cites work: The boundary Harnack principle for the fractional Laplacian
cites work: Sharp estimates for the Green function in Lipschitz domains
cites work: Eigenvalues of the fractional Laplace operator in the interval
cites work: Lévy Processes and Stochastic Calculus
cites work: Feynman-Kac semigroups, ground state diffusions, and large deviations
cites work: Girsanov and Feynman-Kac type transformations for symmetric Markov processes
cites work: Synthesis of Covariant Particle Equations
Recommended article: Levy flights, dynamical duality and fractional quantum mechanics
Recommended article: Lévy flights over quantum paths
Recommended article: Q4850574
Recommended article: Lévy flights with quenched noise amplitudes
Recommended article: Quantum localization, chaos and nonlinear interactions
Recommended article: Q4862582
Recommended article: Some fundamental aspects of Lévy flights
Recommended article: Nonlinear variation of diffusion exponents in quantum dynamics
Recommended article: Fractal and nonfractal behavior in Levy flights
Recommended article: Fluctuations in a Lévy flight gas
description: scientific article; zbMATH DE number 6280669