Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion |
Autor: | Garcia-Alvareza, E.T.; Gaioli, F.H. |
Filiación: | Inst. Astronomia y Fis. del Espacio, C.C. 67, Suc. 28, 1428 Buenos Aires, Argentina Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
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Palabras clave: | Brownian motion; Irreversibility; Langevin equation; Master equation; Approximation theory; Integral equations; Mathematical models; Probability; Quantum theory; Coupled harmonic oscillators; Langevin equation; Brownian movement |
Año: | 1998
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Volumen: | 257
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Número: | 1-4
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Página de inicio: | 298
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Página de fin: | 302
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Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza |
Referencias:
- Ford, G.W., Kac, M., Mazur, P., (1965) J. Math. Phys., 6, p. 504
- Ullersma, P., (1966) Physica, 32, p. 27
- Braun, E., Godoy, S.V., (1977) Physica A, 86, p. 337
- Van Kampen, N.G., (1992) Stochastic Processes in Physics and Chemistry, , Ch. XVII, North-Holland, Amsterdam
- Gaioli, F.H., Garcia Alvarez, E.T., Guevara, J., (1997) Int. J. Theor. Phys., 36, p. 2167
Citas:
---------- APA ----------
Garcia-Alvareza, E.T. & Gaioli, F.H.
(1998)
. Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion. Physica A: Statistical Mechanics and its Applications, 257(1-4), 298-302.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza [ ]
---------- CHICAGO ----------
Garcia-Alvareza, E.T., Gaioli, F.H.
"Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion"
. Physica A: Statistical Mechanics and its Applications 257, no. 1-4
(1998) : 298-302.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza [ ]
---------- MLA ----------
Garcia-Alvareza, E.T., Gaioli, F.H.
"Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion"
. Physica A: Statistical Mechanics and its Applications, vol. 257, no. 1-4, 1998, pp. 298-302.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza [ ]
---------- VANCOUVER ----------
Garcia-Alvareza, E.T., Gaioli, F.H. Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion. Phys A Stat Mech Appl. 1998;257(1-4):298-302.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p298_GarciaAlvareza [ ]