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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
  • Leggett, Chakravarty, Dorsey, Fisher, Garg, Zwerger, (1987) Rev. Mod. Phys., 59, p. 1. , and references therein
  • Chester, (1963) Rep. Prog. Phys., 26, p. 411

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