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Abstract:

A direct approach for the generalized reduced Liouville equation of motion decoupling problem associated with open quantum systems within the superoperator formalism is presented. The procedure is based on inversion of the perturbation series for the energy representation of the density operator so as to obtain one for the proper self-energy fields that emerge as a consequence of the analytic character of the associated spectral representation. Thus, the perturbation series that arises from the iteration of the energy-dependent matrix elements hierarchy involved in the statistical operator allows, upon further expansion of the inverse of such series, to get formally exact expressions for the corrections to all orders of the self-energy fields. The lower order corrections of these fields are discussed in terms of resonant and nonresonant contributions. The present approach provides matrix equations that show the close relation between the environment effects represented by the self-energy fields and the relaxation kernel that drives the system-reservoir interaction.

Registro:

Documento: Artículo
Título:Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
Autor:Bochicchio, R.C.; Grinberg, H.
Ciudad:New York, NY, United States
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Palabras clave:Matrix algebra; Perturbation techniques; Problem solving; Liouville equation; Open quantum systems; Quantum theory
Año:2000
Volumen:79
Número:5
Página de inicio:280
Página de fin:290
DOI: http://dx.doi.org/10.1002/1097-461X(2000)79:5<280::AID-QUA3>3.0.CO;2-W
Título revista:International Journal of Quantum Chemistry
Título revista abreviado:Int J Quantum Chem
ISSN:00207608
CODEN:IJQCB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v79_n5_p280_Bochicchio

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Citas:

---------- APA ----------
Bochicchio, R.C. & Grinberg, H. (2000) . Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach. International Journal of Quantum Chemistry, 79(5), 280-290.
http://dx.doi.org/10.1002/1097-461X(2000)79:5<280::AID-QUA3>3.0.CO;2-W
---------- CHICAGO ----------
Bochicchio, R.C., Grinberg, H. "Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach" . International Journal of Quantum Chemistry 79, no. 5 (2000) : 280-290.
http://dx.doi.org/10.1002/1097-461X(2000)79:5<280::AID-QUA3>3.0.CO;2-W
---------- MLA ----------
Bochicchio, R.C., Grinberg, H. "Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach" . International Journal of Quantum Chemistry, vol. 79, no. 5, 2000, pp. 280-290.
http://dx.doi.org/10.1002/1097-461X(2000)79:5<280::AID-QUA3>3.0.CO;2-W
---------- VANCOUVER ----------
Bochicchio, R.C., Grinberg, H. Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach. Int J Quantum Chem. 2000;79(5):280-290.
http://dx.doi.org/10.1002/1097-461X(2000)79:5<280::AID-QUA3>3.0.CO;2-W