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Abstract:

We are interested in the solutions of those master equations which appear when we consider a nonlinear coupling between an oscillator and an arbitrary thermal bath. For this purpose we implement a power series expansion in the parameter Ω = kT/ h {combining short stroke overlay}ω0. After observing that the master equation is of the diffusion type, we obtain a nonlinear Fokker-Planck equation for the probability density. Solving this equation we find that the relaxation becomes non-exponential. Going beyond lowest order in the expansion we deal again with a nonlinear Fokker-Plank equation which is equivalent to the obtained equation to first order in the case of a linear-plus-quadratic coupling. Finally, we transform the obtained equations to Schrödinger's ones and analyze the corresponding eigenvalue spectrum. © 1994.

Registro:

Documento: Artículo
Título:Expansion method for nonlinear quantum master equations
Autor:Despósito, M.A.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:1994
Volumen:209
Número:1-2
Página de inicio:237
Página de fin:248
DOI: http://dx.doi.org/10.1016/0378-4371(94)90057-4
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_v209_n1-2_p237_Desposito

Referencias:

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  • Despósito, (1992) PhD Thesis, , University of Buenos Aires, unpublished
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Citas:

---------- APA ----------
(1994) . Expansion method for nonlinear quantum master equations. Physica A: Statistical Mechanics and its Applications, 209(1-2), 237-248.
http://dx.doi.org/10.1016/0378-4371(94)90057-4
---------- CHICAGO ----------
Despósito, M.A. "Expansion method for nonlinear quantum master equations" . Physica A: Statistical Mechanics and its Applications 209, no. 1-2 (1994) : 237-248.
http://dx.doi.org/10.1016/0378-4371(94)90057-4
---------- MLA ----------
Despósito, M.A. "Expansion method for nonlinear quantum master equations" . Physica A: Statistical Mechanics and its Applications, vol. 209, no. 1-2, 1994, pp. 237-248.
http://dx.doi.org/10.1016/0378-4371(94)90057-4
---------- VANCOUVER ----------
Despósito, M.A. Expansion method for nonlinear quantum master equations. Phys A Stat Mech Appl. 1994;209(1-2):237-248.
http://dx.doi.org/10.1016/0378-4371(94)90057-4