Self-energy operator and self-energy fields in many-body systems: Liouvillian approach

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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 quant...

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Autor principal: Bochicchio, Roberto Carlos
Otros Autores: Grinberg, H.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2002
Acceso en línea:Registro en Scopus
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100 1 |a Bochicchio, Roberto Carlos 
245 1 0 |a Self-energy operator and self-energy fields in many-body systems: Liouvillian approach 
260 |c 2002 
270 1 0 |m Bochicchio, R.C.; Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina; email: rboc@df.uba.ar 
504 |a Zubarev, N., (1960) Sov Phys Usp, 3, p. 320. , and references therein 
504 |a Bonch-Bruevich, V.L., Tyablikov, S.V., (1962) The Green Function Method in Statistical Mechanics, , North-Holland: Amsterdam 
504 |a Linderberg, J., Öhrn, Y., (1973) Propagators in Quantum Chemistry, , Academic: London 
504 |a Nozières, P., (1964) Theory of Interacting Fermi Systems, , Benjamin: New York 
504 |a Paul, R., (1982) Field Theoretical Methods in Chemical Physics, , Elsevier: Amsterdam 
504 |a Csanak, G., Taylor, H.S., Yaris, R., (1971) Adv At Mol Phys, 7, p. 287 
504 |a Cederbaum, L.S., Domcke, W., (1977) Adv Chem Phys, 36, p. 205 
504 |a Kadanoff, L.P., Baym, G., (1962) Quantum Statistical Mechanics, , Benjamin: New York 
504 |a Ajiezer, A.I., Peletminski, S.V., Methods of statistical physics (1981) Int. Series in Nat Phyl, 104. , Pergamonn: Oxford 
504 |a Bochicchio, R.C., Alcoba, D.R., (2001) Int J Quantum Chem, 85, p. 63 
504 |a Bochicchio, R.C., Grinberg, H., (1995) Int J Quantum Chem, 54, p. 27 
504 |a Bochicchio, R.C., Grinberg, H., (2000) Int J Quantum Chem, 79, p. 280 
504 |a Girardeau, M.D., (1971) Phys Rev Lett, 27, p. 1416 
504 |a Kvasnička, V., (1984) Croat Chem Acta, 57, p. 1643. , and references therein 
504 |a Coleman, A.J., Yukalov, V.I., (2000) Lecture Notes in Chemistry, 72. , Springer: Berlin; and references therein 
504 |a Bochicchio, R.C., Alcoba, D.R., unpublished results; Valdemoro, C., De Lara, M.P., Bochicchio, R.C., Pèrez-Romero, E., (1997) Int J Quantum Chem, 65, p. 97 
504 |a Husimi, K., (1940) Proc Phys Soc Jpn, 22, p. 264 
504 |a Löwdin, P.O., (1955) Phys Rev, 97, p. 1474 
504 |a Coleman, A.J., (1963) Rev Mod Phys, 5, p. 668. , and references therein 
504 |a Dharmawardana, M.W.C., (1968) Queen's Papers in Pure and Appl Math 11, 11, p. 129. , Queen's University, Kingston, Ontario, Canada 
504 |a Davidson, E.R., (1976) Reduced Density Matrices in Quantum Chemistry, , Academic: London 
504 |a Valdemoro, C., (1996) Strategies and Applications in Quantum Chemistry, p. 55. , Ellinger, Y.; Defranceschi, M., Eds.; Kluwer Academic: Amsterdam; and references therein 
504 |a Coleman, A.J., (1975) Quantum Statistics and the Many Body Physics, p. 239. , Trickey, S. B.; Kirk, W. P.; Dufty, J. W., Eds.; Plenum: New York 
504 |a Coleman, A.J., (1989) J Low Temp Phys, 74, p. 1 
504 |a Bochicchio, R.C., (1990) An Asoc Fís Arg, 2, p. 51. , in Spanish 
504 |a Bochicchio, R.C., (1990) J Mol Struct (Theochem), 210, p. 99 
504 |a Brand, J., Cederbaum, L.S., (1996) Ann Phys, 252, p. 276 
504 |a Girardeau, M.D., (1983) Phys Rev A, 28, p. 1056 
504 |a Bochicchio, R.C., Grinberg, H., (1990) Chem Phys Lett, 236, p. 169 
504 |a Bochicchio, R.C., Grinberg, H., (1998) J Mol Struct (Theochem), 426, p. 9 
504 |a Löwdin, P.O., (1982) Int J Quantum Chem, 21, p. 275. , and references therein 
504 |a Pickup, B.T., Goscinski, O., (1973) Mol Phys, 26, p. 1013 
504 |a Öhrn, Y., Born, G., (1981) Adv Quantum Chem, 13, p. 1. , and references therein 
504 |a Szabo, A., Ostlund, N.S., (1982) Modern Quantum Chemistry: Introduction to Advanced Electronic Theory, , MacMillan: New York 
504 |a Oddershede, J., (1978) Adv Quantum Chem, 11, p. 275 
504 |a Jørgensen, J., Oddershede, J., (1977) J Chem Phys, 66, p. 1541 
504 |a Bochicchio, R.C., Ferraro, M.B., Grinberg, H., Cavasotto, C., (1995) J Mol Struct (Theochem), 335, p. 1 
504 |a Kutzelnigg, W., (1982) J Chem Phys, 77, p. 3081 
504 |a Bochicchio, R.C., Grinberg, H., (1995) J Mol Struct (Theochem), 330, p. 113 
504 |a McWeeny, R., (1992) Methods of Molecular Quantum Mechanics, , Academic: London 
504 |a Kutzelnigg, W., Mukherjee, D., (1999) J Chem Phys, 110, p. 2800 
504 |a Bochicchio, R.C., Ponec, R., Lain, L., Torre, A., (1998) J Phys Chem A, 102, p. 7176. , and references therein 
504 |a Bochicchio, R.C., Lain, L., Torre, A., Ponec, R., (2001) J Math Chem, 28, p. 83. , and references therein 
504 |a Coleman, A.J., (1987) Density Matrices and Density Functionals, p. 5. , Erdahl, R.; Smith, Jr., V. H., Eds.; Reidel: Dordrecht; and references therein 
506 |2 openaire  |e Política editorial 
520 3 |a 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.  |l eng 
593 |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina 
690 1 0 |a DYSON EQUATION 
690 1 0 |a LIOUVILLIAN APPROACH 
690 1 0 |a PROPAGATORS 
690 1 0 |a REDUCED DENSITY MATRICES 
690 1 0 |a SELF-ENERGY FIELDS 
690 1 0 |a ELECTRON ENERGY LEVELS 
690 1 0 |a EQUATIONS OF MOTION 
690 1 0 |a GREEN'S FUNCTION 
690 1 0 |a MATHEMATICAL OPERATORS 
690 1 0 |a MATRIX ALGEBRA 
690 1 0 |a REDUCED DENSITY MATRICES (RDM) 
690 1 0 |a QUANTUM THEORY 
700 1 |a Grinberg, H. 
773 0 |d 2002  |g v. 90  |h pp. 148-154  |k n. 1  |p Int J Quantum Chem  |x 00207608  |w (AR-BaUEN)CENRE-16  |t International Journal of Quantum Chemistry 
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856 4 0 |u https://doi.org/10.1002/qua.10097  |x doi  |y DOI 
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963 |a VARI 

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