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Abstract:

An explicit definition for the self-energy field operator and the self-energy fields obtained from an average of the associated operator within the algebraic formalism of superoperators is presented. It stems from the formal expansion of the many-body propagator equations of motion hierachy in quantum many-body systems within the scenario of the Liouvillian decoupling scheme developed in previous works. An essential theoretical property of such fields for the complete expansion of the propagator to any order in the interaction potential is shown. This states that the interaction potential to a given order only depends on one q-reduced density matrix. The contraction order q of the density matrix depends on both the nature of the operators defining the propagator and the actual order of the expansion. This result is rigorous regarding infinite summation of the irreducible terms of the self-energy fields and provides a direct way to estimate the extent to which many-body effects are involved in successive approximations, i.e., truncation of the excitation level given by the reference state throughout the reduced density matrix and the expansion of the propagator. © 2002 Wiley Periodicals, Inc. Int. J. Quantum Chem.

Registro:

Documento: Artículo
Título:Self-energy operator and self-energy fields in many-body systems: Liouvillian approach
Autor:Bochicchio, R.C.; Grinberg, H.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina
Palabras clave:Dyson equation; Liouvillian approach; Propagators; Reduced density matrices; Self-energy fields; Electron energy levels; Equations of motion; Green's function; Mathematical operators; Matrix algebra; Reduced density matrices (RDM); Quantum theory
Año:2002
Volumen:90
Número:1
Página de inicio:148
Página de fin:154
DOI: http://dx.doi.org/10.1002/qua.10097
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_v90_n1_p148_Bochicchio

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Citas:

---------- APA ----------
Bochicchio, R.C. & Grinberg, H. (2002) . Self-energy operator and self-energy fields in many-body systems: Liouvillian approach. International Journal of Quantum Chemistry, 90(1), 148-154.
http://dx.doi.org/10.1002/qua.10097
---------- CHICAGO ----------
Bochicchio, R.C., Grinberg, H. "Self-energy operator and self-energy fields in many-body systems: Liouvillian approach" . International Journal of Quantum Chemistry 90, no. 1 (2002) : 148-154.
http://dx.doi.org/10.1002/qua.10097
---------- MLA ----------
Bochicchio, R.C., Grinberg, H. "Self-energy operator and self-energy fields in many-body systems: Liouvillian approach" . International Journal of Quantum Chemistry, vol. 90, no. 1, 2002, pp. 148-154.
http://dx.doi.org/10.1002/qua.10097
---------- VANCOUVER ----------
Bochicchio, R.C., Grinberg, H. Self-energy operator and self-energy fields in many-body systems: Liouvillian approach. Int J Quantum Chem. 2002;90(1):148-154.
http://dx.doi.org/10.1002/qua.10097