Algebraic relations between Dyson and Liouvillian self-energy field approaches

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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...

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Autor principal: Bochicchio, Roberto Carlos
Otros Autores: Grinberg, Horacio
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Elsevier 1998
Acceso en línea:Registro en Scopus
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100 1 |a Bochicchio, Roberto Carlos 
245 1 0 |a Algebraic relations between Dyson and Liouvillian self-energy field approaches 
260 |b Elsevier  |c 1998 
270 1 0 |m Bochicchio, R.C.; Departamento de Fisica, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428), Buenos Aires, Argentina 
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504 |a Jørgensen, P., Simons, J., (1981) Second Quantization Based Methods in Quantum Chemistry, , Wiley-Intersdence, New York 
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504 |a Bochicchio, R.C., Grinberg, H., (1990) Chem. Phys. Lett., 236, p. 169 
504 |a Bochicchio, R.C., Grinberg, H., to be published; Mertins, I., Schirmer, J., (1996) A. Tarantelli Phys. Rev. A, 53, p. 2153 
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504 |a Bochicchio, R.C., Ferraro, M.B., Grinberg, H., Cavasotto, C.N., (1995) J. Mol. Struct. (Theochem), 335, p. 1 
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506 |2 openaire  |e Política editorial 
520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: Universidad de Buenos Aires, EX-006 
536 |a Detalles de la financiación: This work has been made possible by research grants in aid from the University of Buenos Aires (Project No EX-006), the Consejo National de Investigaciones Cientificas y Tecnicas, Republica Argentina and Agencia National de Promoaon Cientifica y Tecnologica, Project No. PMT-PICI0148. The authors are grateful to the Departament of Physics, Facultad de Ciencias Exactas y Naturales, Uni-versidad de Buenos Aires, for facilities provided during the course of this work. 
593 |a Departamento de Fisica, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428), Buenos Aires, Argentina 
690 1 0 |a DYSON EQUATION 
690 1 0 |a EQUATION OF MOTION 
690 1 0 |a LIOUVILLIAN SELF-ENERGIES 
690 1 0 |a PROPAGATORS 
700 1 |a Grinberg, Horacio 
773 0 |d Elsevier, 1998  |g v. 426  |h pp. 9-16  |k n. 1-3  |p J. Mol. Struct. THEOCHEM  |x 01661280  |w (AR-BaUEN)CENRE-1043  |t Journal of Molecular Structure: THEOCHEM 
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