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Abstract:

A basic hypothesis of holomorphy of the Fourier transformed memory kernel is used to introduced non-Markovian corrections to the usual quantum Langevin equation with approximate memory kernel of vanishing lifetime. An application is presented for an electron in the blackbody radiation field showing that the lowest order corrections lead to a quantum stochastic version of the Abraham-Lorentz equation of motion. © 1990.

Registro:

Documento: Artículo
Título:Holomorphy of the Fourier transformed memory kernel in the quantum Langevin equation
Autor:Cataldo, H.M.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:1990
Volumen:148
Número:5
Página de inicio:246
Página de fin:252
DOI: http://dx.doi.org/10.1016/0375-9601(90)90984-V
Título revista:Physics Letters A
Título revista abreviado:Phys Lett Sect A Gen At Solid State Phys
ISSN:03759601
CODEN:PYLAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v148_n5_p246_Cataldo

Referencias:

  • Ford, Lewis, O'Connell, (1988) Phys. Rev. A, 37, p. 4419
  • Ford, Kac, (1987) J. Stat. Phys., 46, p. 803
  • Kubo, Toda, Hashitsume, (1985) Statistical physics II. Non-equilibrium statistical mechanics, , Springer, Berlin
  • Grabert, Weiss, Talkner, (1984) Z. Phys. B, 55, p. 87
  • Ford, Kac, Mazur, (1965) J. Math. Phys., 6, p. 504
  • Muskhelishvili, (1953) Singular integral equations, , Noordhoff, Groningen
  • Balescu, (1963) Statistical mechanics of charged particles, , Wiley, New York
  • Schramm, Grabert, (1987) J. Stat. Phys., 49, p. 767
  • Grabert, Schramm, Ingold, (1988) Phys. Rep., 168, p. 115
  • Ford, Lewis, O'Connell, (1988) Ann. Phys. (NY), 185, p. 270
  • Fox, (1978) Phys. Rep., 48, p. 179
  • Cataldo, (1990) Physica A, 165, p. 249
  • Ford, Lewis, O'Connell, (1987) Phys. Rev. A, 36, p. 1466
  • G.W. Ford and R.F. O'Connell, Radiation reaction in electrodynamics and the elimination of runaway solutions, to be published; Jackson, (1975) Classical electrodynamics, , Wiley, New York, ch. 17
  • Chester, (1963) Rep. Prog. Phys., 26, p. 411
  • E.S. Hernández and H.M. Cataldo, to be published;; Semiclassical description of harmonic quantal Brownian motion (1989) Physical Review A, 39, p. 2034
  • Cataldo, (1989) Nonlinear phenomena in complex systems, p. 221. , A.N. Proto, North-Holland, Amsterdam

Citas:

---------- APA ----------
(1990) . Holomorphy of the Fourier transformed memory kernel in the quantum Langevin equation. Physics Letters A, 148(5), 246-252.
http://dx.doi.org/10.1016/0375-9601(90)90984-V
---------- CHICAGO ----------
Cataldo, H.M. "Holomorphy of the Fourier transformed memory kernel in the quantum Langevin equation" . Physics Letters A 148, no. 5 (1990) : 246-252.
http://dx.doi.org/10.1016/0375-9601(90)90984-V
---------- MLA ----------
Cataldo, H.M. "Holomorphy of the Fourier transformed memory kernel in the quantum Langevin equation" . Physics Letters A, vol. 148, no. 5, 1990, pp. 246-252.
http://dx.doi.org/10.1016/0375-9601(90)90984-V
---------- VANCOUVER ----------
Cataldo, H.M. Holomorphy of the Fourier transformed memory kernel in the quantum Langevin equation. Phys Lett Sect A Gen At Solid State Phys. 1990;148(5):246-252.
http://dx.doi.org/10.1016/0375-9601(90)90984-V