Brownian motion, quantum corrections and a generalization of the Hermite polynomials
type: Item
instance of: scholarly article
title: Brownian motion, quantum corrections and a generalization of the Hermite polynomials
zbMATH Open document ID: 1182.42025
author: J. Blot
published in: Journal of Computational and Applied Mathematics
publication date: 2009-12-18T00:00:00Z
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 82C05
Mathematics Subject Classification ID: 82C10
Mathematics Subject Classification ID: 82C31
zbMATH DE Number: 5650062
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: generalized Hermite polynomials
zbMATH Keywords: equilibrium classical and quantum statistical mechanics
zbMATH Keywords: time-dependent statistical mechanics (dynamic and nonequilibrium)
zbMATH Keywords: stochastic methods (Smoluchowski equation)
zbMATH Keywords: Brownian motion
MaRDI profile type: Publication
full work available at URL: j.cam.2009.02.061
OpenAlex ID: W2021003004
cites work: Brownian motion in a field of force and the diffusion model of chemical reactions
cites work: Brownian motion in a field of force and the diffusion theory of chemical reactions
cites work: The Fokker-Planck equation. Methods of solution and applications.
cites work: Q4520886
cites work: Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
cites work: The Caldeira–Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
cites work: Semiclassical Klein–Kramers and Smoluchowski equations for the Brownian motion of a particle in an external potential
cites work: A new approach to noise in quantum mechanics
cites work: On the assumption of initial factorization in the master equation for weakly coupled systems. I: General framework
cites work: On the assumption of initial factorization in the master equation for weakly coupled systems. II: Solvable models
cites work: Two derivations of the master equation of quantum Brownian motion
cites work: On the Quantum Correction For Thermodynamic Equilibrium
cites work: Statistical physics II. Nonequilibrium statistical mechanics.
cites work: Q4852541
cites work: Distributions of zeros of discrete and continuous polynomials from their recurrence relation
cites work: Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
DOI: 10.1016/J.CAM.2009.02.061
description: scientific article; zbMATH DE number 5650062