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
Autores principales:	Garcia-Alvareza, E.T., Gaioli, F.H.
Formato:	JOUR
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:	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

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spelling	todo:paper_03784371_v257_n1-4_p298_GarciaAlvareza2023-10-03T15:32:30Z Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion Garcia-Alvareza, E.T. Gaioli, F.H. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Garcia-Alvareza, E.T. Gaioli, F.H. 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.
format	JOUR
author	Garcia-Alvareza, E.T. Gaioli, F.H.
author_facet	Garcia-Alvareza, E.T. Gaioli, F.H.
author_sort	Garcia-Alvareza, E.T.
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
url	http://hdl.handle.net/20.500.12110/paper_03784371_v257_n1-4_p298_GarciaAlvareza
work_keys_str_mv	AT garciaalvarezaet exactderivationofthelangevinandmasterequationsforharmonicquantumbrownianmotion AT gaiolifh exactderivationofthelangevinandmasterequationsforharmonicquantumbrownianmotion
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Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion

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