On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems

Master equations for propagators in quantum open systems and their spectral resolutions are derived. The Zwanzig partitioning scheme along the superoperator algebra are used to derive equations of motion for partitioned operators in a Liouville space. The reservoir influence on the dynamical evoluti...

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Autor principal: Bochicchio, Roberto Carlos
Otros Autores: Grinberg, H.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1995
Acceso en línea:Registro en Scopus
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100 1 |a Bochicchio, Roberto Carlos 
245 1 3 |a On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems 
260 |c 1995 
270 1 0 |m Grinberg, H.; Departamento de Física, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina 
504 |a Csanak, G., Taylor, H.S., Yaris, R., (1971) Adv. At. Mol. Phys., 7, p. 287 
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504 |a Bochicchio, R.C., Grinberg, H., (1990) Chem. Phys. Lett., 236, p. 169 
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504 |a Fetter, A.L., Walecka, J.D., (1966) Quantum Theory of Many Particle Systems, , McGraw‐Hill, New York 
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504 |a Danielewicz, P., (1990) Ann. Phys., 154, p. 197 
504 |a Bochicchio, R.C., (1990), in Proceedings of the 75 Meeting of Argentine Physical Association Vol. 2; Davies, E.B., (1976) Quantum Theory of Open Systems, , Academic Press, New York 
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504 |a Lindenberg, K., West, B.J., (1990) The Non Equilibrium Statistical Mechanics of Open and Closed Systems, , VCH, New York 
504 |a Löwdin, P.‐O., (1986) Adv. Quantum Chem., 17, p. 285 
504 |a Royer, A., (1991) Phys. Rev. A, 43, p. 44 
504 |a Bochicchio, R.C., Grinberg, H., (1992) J. Mol. Struct. (Theochem), 254, p. 71 
504 |a Zwanzig, R., (1960) J. Chem. Phys., 33, p. 1338 
504 |a Zwanzig, R., (1964) Physica, 30, p. 1109 
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504 |a Lowdin, P.O., Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction (1955) Physical Review, 97, p. 1474 
504 |a Löwdin, P.‐O., (1982) Int. J. Quantum Chem., 16 S, p. 485 
504 |a Davidson, E.R., (1976) Reduced Density Matrices in Quantum Chemistry, , Academic Press, New York 
504 |a Bochicchio, R.C., Grinberg, H., (1990) Phys. Rev. A, 41, p. 5814 
504 |a Löwdin, P.‐O., On the axioms of quantum theory formulated as a trace algebra (1982) International Journal of Quantum Chemistry, 21, p. 275 
504 |a Agarwal, G.S., (1974) Spring. Tracts Mod. Phys., 70, p. 25 
504 |a Haken, H., (1975) Rev. Mod. Phys., 47, p. 67 
504 |a Haake, F., Statistical treatment of open systems by generalized master equations (1973) Spring. Tracts Mod. Phys., 66, p. 98 
504 |a Zubarev, D.N., DOUBLE-TIME GREEN FUNCTIONS IN STATISTICAL PHYSICS (1960) Soviet Physics Uspekhi, 3, p. 320 
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504 |a Fano, U., (1964) Lectures on the Many‐Body Problem, 2. , E. R. Caianiello, Academic Press, New York 
504 |a Bochicchio, R.C., Grinberg, H., (1990) Chem. Phys. Lett., 169, p. 236 
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504 |a Bochicchio, R.C., Grinberg, H., (1992) Condensed Matter Theories, 7, p. 367. , Plenum, New York 
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504 |a Schimdt, M.W., Boatz, J.A., Baldrigde, K.K., Koseki, S., Gordon, M.S., Elbert, S.T., Lam, B., (1987) QCPE Bull., 7, p. 115 
504 |a Bochicchio, R.C., Grinberg, H., J. Mol. Struct. (Theochem) (in press); Lindner, P., Goscinski, O., (1970) J. Math. Phys., 11, p. 1313 
504 |a Grinberg, H., ICTP Report No. IC/83/172 
506 |2 openaire  |e Política editorial 
520 3 |a Master equations for propagators in quantum open systems and their spectral resolutions are derived. The Zwanzig partitioning scheme along the superoperator algebra are used to derive equations of motion for partitioned operators in a Liouville space. The reservoir influence on the dynamical evolution of operators is shown to lead explicitly to dissipative effects arising from memory terms in the evolution equations of such operators. It is also shown that spectral representations may be written in a self‐consistent analytic way by means of the self‐energy fields for transition energies of the system by taking into account the lack of the complete knowledge about the reservoir. A kinematic fluid interpretation of the resultant equations is given and an explicit form of the “collision” superoperator is obtained. Finally, a simple example to illustrate the determination of self‐energy fields for the system–reservoir interaction corrections is given. © 1995 John Wiley & Sons, Inc. Copyright © 1995 John Wiley & Sons, Inc.  |l eng 
593 |a Departamento de Física, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina 
700 1 |a Grinberg, H. 
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