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Abstract:

A non-Markovian version of the quantal Brownian motion model is given. The integrodifferential equations of motion are solved, establishing the analytic form of the resolvent poles and analyzing their properties. An explicit investigation of the poles at zero temperature is performed. In this frame a rule can be found that relates the relevant poles of the non-Markovian resolvent to the eigenvalues of the associated Markovian generator of the motion. © 1988 Plenum Publishing Corporation.

Registro:

Documento: Artículo
Título:Non-Markovian quantal Brownian motion model
Autor:Cataldo, H.M.; Hernández, E.S.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:Non-Markovian master equation; non-Markovian/Markovian frequency relation; resolvent poles; zero temperature
Año:1988
Volumen:50
Número:1-2
Página de inicio:383
Página de fin:403
DOI: http://dx.doi.org/10.1007/BF01023000
Título revista:Journal of Statistical Physics
Título revista abreviado:J Stat Phys
ISSN:00224715
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v50_n1-2_p383_Cataldo

Referencias:

  • Hernández, E.S., Dorso, C.O., Quantal Brownian motion in stationary and nonstationary fermionic reservoirs (1984) Physical Review C, 29, p. 1510
  • Dorso, C.O., Hernández, E.S., (1984) Phys. Rev. C, 29, p. 1523
  • de la Mota, V., Dorso, C.O., Hernández, E.S., (1984) Phys. Lett. B, 143, p. 279
  • Hernández, E.S., Dorso, C.O., (1984) Phys. Rev. C, 30, p. 1711
  • Hernández, E.S., (1985) Physica, 132 A, p. 28
  • Hernández, E.S., Kievsky, A., (1985) Phys. Rev. A, 32, p. 1810
  • Cataldo, H.M., Hernández, E.S., Dorso, C.O., (1987) Physica, 142 A, p. 498
  • Kievsky, A., Hernández, E.S., (1986) Physica, 139 A, p. 149
  • Hernández, E.S., Kievsky, A., (1986) Phys. Rev. A, 34, p. 2433
  • Hernández, E.S., Cataldo, H.M., (1987) Physica, 142 A, p. 517
  • A. Kievsky and E. S. Hernández, to be published; A. van der Woude, Prog. Part. Nucl. Phys., to be published; Haake, F., (1973) Springer Tracts in Modern Physics, Vol. 66, , Springer, Berlin
  • Nakajima, S., On Quantum Theory of Transport Phenomena (1958) Progress of Theoretical Physics, 20, p. 948
  • Zwanzig, R.W., (1961) Lectures in Theoretical Physics, , W. S., Brittin, B. W., Downs, J., Downs, Interscience, New York
  • George, C., Prigogine, I., Rosenfeld, L., (1972) Mat. Fys. Medd., 38, p. 12
  • Prigogine, I., George, C., Henin, F., Rosenfeld, L., (1972) Chem. Scripta, 4, p. 5
  • Balescu, R., (1975) Equilibrium and Nonequilibrium Statistical Mechanics, , Wiley, Interscience, New York
  • Davies, E.B., (1974) Commun. Math. Phys., 39, p. 91
  • H. M. Cataldo and E. S. Hernández, to be published; Benguria, R., Kac, M., (1981) Phys. Rev. Lett., 46, p. 1
  • Maassen, H., (1984) J. Stat. Phys., 34, p. 239
  • M. Despósito, Seminar Work, University of Buenos Aires (1986), unpublished

Citas:

---------- APA ----------
Cataldo, H.M. & Hernández, E.S. (1988) . Non-Markovian quantal Brownian motion model. Journal of Statistical Physics, 50(1-2), 383-403.
http://dx.doi.org/10.1007/BF01023000
---------- CHICAGO ----------
Cataldo, H.M., Hernández, E.S. "Non-Markovian quantal Brownian motion model" . Journal of Statistical Physics 50, no. 1-2 (1988) : 383-403.
http://dx.doi.org/10.1007/BF01023000
---------- MLA ----------
Cataldo, H.M., Hernández, E.S. "Non-Markovian quantal Brownian motion model" . Journal of Statistical Physics, vol. 50, no. 1-2, 1988, pp. 383-403.
http://dx.doi.org/10.1007/BF01023000
---------- VANCOUVER ----------
Cataldo, H.M., Hernández, E.S. Non-Markovian quantal Brownian motion model. J Stat Phys. 1988;50(1-2):383-403.
http://dx.doi.org/10.1007/BF01023000