Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion

A many-particle Hamiltonian, where the interaction term conserves the number of particles, is considered. A master equation for the populations of the different levels is derived in an exact way. It results in a local equation with time-dependent coefficients, which can be identified with the transi...

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Detalles Bibliográficos
Autor principal: Gaioli, Fabián Horacio
Publicado: 1998
Materias:
Brownian motion
Irreversibility
Langevin equation
Master equation
Approximation theory
Integral equations
Mathematical models
Probability
Quantum theory
Coupled harmonic oscillators
Brownian movement
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza
http://hdl.handle.net/20.500.12110/paper_03784371_v257_n1-4_p298_GarciaAlvareza
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03784371_v257_n1-4_p298_GarciaAlvareza
record_format dspace
spelling paper:paper_03784371_v257_n1-4_p298_GarciaAlvareza2023-06-08T15:39:52Z Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion Gaioli, Fabián Horacio Brownian motion Irreversibility Langevin equation Master equation Approximation theory Integral equations Mathematical models Probability Quantum theory Coupled harmonic oscillators Langevin equation Brownian movement A many-particle Hamiltonian, where the interaction term conserves the number of particles, is considered. A master equation for the populations of the different levels is derived in an exact way. It results in a local equation with time-dependent coefficients, which can be identified with the transition probabilities in the golden rule approximation. A reinterpretation of the model as a set of coupled harmonic oscillators enables one to obtain for one of them an exact local Langevin equation, with time-dependent coefficients. © 1998 Elsevier Science B.V. All rights reserved. Fil:Gaioli, F.H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza http://hdl.handle.net/20.500.12110/paper_03784371_v257_n1-4_p298_GarciaAlvareza
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Brownian motion
Irreversibility
Langevin equation
Master equation
Approximation theory
Integral equations
Mathematical models
Probability
Quantum theory
Coupled harmonic oscillators
Langevin equation
Brownian movement
spellingShingle Brownian motion
Irreversibility
Langevin equation
Master equation
Approximation theory
Integral equations
Mathematical models
Probability
Quantum theory
Coupled harmonic oscillators
Langevin equation
Brownian movement
Gaioli, Fabián Horacio
Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion
topic_facet Brownian motion
Irreversibility
Langevin equation
Master equation
Approximation theory
Integral equations
Mathematical models
Probability
Quantum theory
Coupled harmonic oscillators
Langevin equation
Brownian movement
description A many-particle Hamiltonian, where the interaction term conserves the number of particles, is considered. A master equation for the populations of the different levels is derived in an exact way. It results in a local equation with time-dependent coefficients, which can be identified with the transition probabilities in the golden rule approximation. A reinterpretation of the model as a set of coupled harmonic oscillators enables one to obtain for one of them an exact local Langevin equation, with time-dependent coefficients. © 1998 Elsevier Science B.V. All rights reserved.
author Gaioli, Fabián Horacio
author_facet Gaioli, Fabián Horacio
author_sort Gaioli, Fabián Horacio
title Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion
title_short Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion
title_full Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion
title_fullStr Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion
title_full_unstemmed Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion
title_sort exact derivation of the langevin and master equations for harmonic quantum brownian motion
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza
http://hdl.handle.net/20.500.12110/paper_03784371_v257_n1-4_p298_GarciaAlvareza
work_keys_str_mv AT gaiolifabianhoracio exactderivationofthelangevinandmasterequationsforharmonicquantumbrownianmotion
_version_ 1768542843346878464

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