Artículo
Garcia-Alvareza, E.T.; Gaioli, F.H. "Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion" (1998) Physica A: Statistical Mechanics and its Applications. 257(1-4):298-302
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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 |
| 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 |
| 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 |
| Volumen: | 257 |
| Número: | 1-4 |
| Página de inicio: | 298 |
| Página de fin: | 302 |
| Título revista: | Physica A: Statistical Mechanics and its Applications |
| Título revista abreviado: | Phys A Stat Mech Appl |
| ISSN: | 03784371 |
| CODEN: | PHYAD |
| 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 [ ]
