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Abstract:

Through the superoperator algebraic formalism it is shown that Liouvillian self-energies derived from the equations of motion hierarchy for two-time propagators in stationary states of time independent Hamiltonians of N-particle systems are closely related to those obtained from the solution of the super-operator approach to Dyson equations (Dyson self-energies). It probes the quasi-equivalence of the two formulae, namely, they are equivalent to lower orders in the perturbative series expansion, a result valid for any kind of reference state used in the evaluation of the propagators leading to the self-energy fields. The relations obtained for the one-particle propagator are generalized to p-particle propagators (p < N). Thus, it shows the existence, as in the case of one-particle propagators, of Dyson like equations and consequently that the Liouvillian formulation is adequate to solve the decoupling problem in many-body physics allowing extensions to be made to other related fields such as the solution of the reduced Liouville quantum equation. © 1998 Elsevier Science B.V.

Registro:

Documento: Artículo
Título:Algebraic relations between Dyson and Liouvillian self-energy field approaches
Autor:Bochicchio, R.C.; Grinberg, H.
Filiación:Departamento de Fisica, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428), Buenos Aires, Argentina
Palabras clave:Dyson equation; Equation of motion; Liouvillian self-energies; Propagators
Año:1998
Volumen:426
Número:1-3
Página de inicio:9
Página de fin:16
DOI: http://dx.doi.org/10.1016/S0166-1280(97)00302-3
Título revista:Journal of Molecular Structure: THEOCHEM
Título revista abreviado:J. Mol. Struct. THEOCHEM
ISSN:01661280
CODEN:THEOD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01661280_v426_n1-3_p9_Bochicchio

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Citas:

---------- APA ----------
Bochicchio, R.C. & Grinberg, H. (1998) . Algebraic relations between Dyson and Liouvillian self-energy field approaches. Journal of Molecular Structure: THEOCHEM, 426(1-3), 9-16.
http://dx.doi.org/10.1016/S0166-1280(97)00302-3
---------- CHICAGO ----------
Bochicchio, R.C., Grinberg, H. "Algebraic relations between Dyson and Liouvillian self-energy field approaches" . Journal of Molecular Structure: THEOCHEM 426, no. 1-3 (1998) : 9-16.
http://dx.doi.org/10.1016/S0166-1280(97)00302-3
---------- MLA ----------
Bochicchio, R.C., Grinberg, H. "Algebraic relations between Dyson and Liouvillian self-energy field approaches" . Journal of Molecular Structure: THEOCHEM, vol. 426, no. 1-3, 1998, pp. 9-16.
http://dx.doi.org/10.1016/S0166-1280(97)00302-3
---------- VANCOUVER ----------
Bochicchio, R.C., Grinberg, H. Algebraic relations between Dyson and Liouvillian self-energy field approaches. J. Mol. Struct. THEOCHEM. 1998;426(1-3):9-16.
http://dx.doi.org/10.1016/S0166-1280(97)00302-3