Artículo
Abstract:
A general study of particle-reservoir correlations in quantal Brownian motion is developed. The non-Markovian character of the analysis requires the application of analytic continuation techniques which yield as a remarkable result general formulae for the analytic continuation of the reduced weak-coupling collision operator. The study focuses upon the mean value of the interaction energy which is shown to evolve according to the particle relaxation frequencies in addition to a set of non-Markovian correlation frequencies. The formalism is applied to a spin j coupled to a magnetic field and in contact (weak-coupling) to a phonon reservoir showing that (i) the reservoir coordinates generally fluctuate on an average in opposite direction to the spin angular momentum and (ii) the set of non-Markovian correlation frequencies is absent. © 1993.
Registro:
| Documento: | Artículo |
| Título: | Particle-reservoir correlations in quantal Brownian motion |
| Autor: | Cataldo, H.M. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| Año: | 1993 |
| Volumen: | 195 |
| Número: | 1-2 |
| Página de inicio: | 223 |
| Página de fin: | 238 |
| DOI: | http://dx.doi.org/10.1016/0378-4371(93)90265-6 |
| 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_v195_n1-2_p223_Cataldo |
Referencias:
- Prigogine, (1962) Non-Equilibrium Statistical Mechanics, , Interscience, New York
- Prigogine, George, Henin, Rostenfeld, (1973) Chem. Scr., 4, p. 5
- George, (1973) Physica A, 65, p. 277
- Courbage, Mathematical problems of irreversible statistical mechanics for quantum systems. I: Analytic continuation of the collision and destruction operators by spectral deformation method (1982) Journal of Mathematical Physics, 23, p. 646
- Courbage, Mathematical problems of irreversible statistical mechanics for quantum systems. II: On the singularities of (Ψ(z)−z)−1 and the pseudo‐Markovian equation. Application to Lee model (1982) Journal of Mathematical Physics, 23, p. 652
- Grecos, Guo, Guo, (1975) Physica A, 80, p. 421
- Cataldo, (1990) Physica A, 165, p. 249
- Muskhelishvili, (1953) Singular Integral Equations, , Noordhoff, Groningen
- Cataldo, (1990) Phys. Lett. A, 148, p. 246
- Hernández, Cataldo, Memory effects upon the relaxation dynamics of the Wigner distribution function (1991) Journal of Physics A: Mathematical and General, 24, p. 4109
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Citas:
---------- APA ----------
(1993) . Particle-reservoir correlations in quantal Brownian motion. Physica A: Statistical Mechanics and its Applications, 195(1-2), 223-238.http://dx.doi.org/10.1016/0378-4371(93)90265-6
---------- CHICAGO ----------
Cataldo, H.M. "Particle-reservoir correlations in quantal Brownian motion" . Physica A: Statistical Mechanics and its Applications 195, no. 1-2 (1993) : 223-238.http://dx.doi.org/10.1016/0378-4371(93)90265-6
---------- MLA ----------
Cataldo, H.M. "Particle-reservoir correlations in quantal Brownian motion" . Physica A: Statistical Mechanics and its Applications, vol. 195, no. 1-2, 1993, pp. 223-238.http://dx.doi.org/10.1016/0378-4371(93)90265-6
---------- VANCOUVER ----------
Cataldo, H.M. Particle-reservoir correlations in quantal Brownian motion. Phys A Stat Mech Appl. 1993;195(1-2):223-238.http://dx.doi.org/10.1016/0378-4371(93)90265-6
