On the quantum field operator dynamics: Memory dependent projected representation
The projection formalism of Zwanzig and Feshbach is used to construct the Heisenberg picture of time dependent field operators in two mutually orthogonal subspaces. A particular form of Zwanzig's generalized master equation involving time dependent Hamiltonians and Liouville superoperators is o...
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Elsevier
1998
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| LEADER | 05444caa a22006017a 4500 | ||
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| 001 | PAPER-2908 | ||
| 003 | AR-BaUEN | ||
| 005 | 20241016085259.0 | ||
| 008 | 190411s1998 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0346276609 | |
| 030 | |a THEOD | ||
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Bochicchio, Roberto Carlos | |
| 245 | 1 | 3 | |a On the quantum field operator dynamics: Memory dependent projected representation |
| 260 | |b Elsevier |c 1998 | ||
| 270 | 1 | 0 | |m Bochicchio, R.C.; Departamento de Física, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina |
| 504 | |a Blaizat, J.P., Ripka, G., (1986) Quantum Theory of Finite Systems, , The MIT Press, Cambridge, Massachusetts, London, England | ||
| 504 | |a Gross, E.K.U., Runge, E., Heinonen, O., (1991) Many-Particle Theory, , Adam Hilger, Bristol, Philadelphia and New York | ||
| 504 | |a Mori, H., (1965) Progr. Theor. Phys., 33, p. 423 | ||
| 504 | |a Grabert, H., (1982) Projection Operator Techniques in Nonequilibrium Statistical Mechanics, , Springer, Berlin | ||
| 504 | |a Louisell, W.H., (1973) Quantum Statistical Properties of Radiation, , Wiley, New York | ||
| 504 | |a Zwanzig, R., (1960) J. Chem. Phys., 33, p. 1338 | ||
| 504 | |a (1964) Physica, 30, p. 1109 | ||
| 504 | |a Feshbach, H., (1962) Ann. Phys. (NY), 19, p. 287 | ||
| 504 | |a Grinberg, H., International Centre for Theoretical Physics Report No. IC/83/172; Bochicchio, R.C., Grinberg, H., (1990) Phys. Rev., A41, p. 5814 | ||
| 504 | |a Turner, R.E., Dahler, J.S., (1980) J. Phys., B13, p. 161 | ||
| 504 | |a Turner, R.E., Dahler, J.S., Snidder, R.F., (1982) Can. J. Phys., 60, p. 1371 | ||
| 504 | |a Coleman, A.J., (1963) Rev. Mod. Phys., 32, p. 668 | ||
| 504 | |a Cohen-Tannoudji, C., Diu, B., Lalöe, F., (1977) Quantum Mechanics, , Wiley, New York | ||
| 504 | |a Vlademoro, C., (1995) Int. J. Quantum Chem., 60, p. 131 | ||
| 504 | |a Lam, C.C., Fung, P.C.W., (1983) Phys. Rev., A27, p. 1760 | ||
| 504 | |a Fung, P.C.W., Lam, C.C., (1984) Phys. Rev., A29, p. 2364 | ||
| 504 | |a Bochicchio, R.C., Grinberg, H., (1995) Int. J. Quantum Chem., 54, p. 27 | ||
| 504 | |a Bochicchio, R.C., Grinberg, H., J. Mol. Struct. (Theochem), , in press | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a The projection formalism of Zwanzig and Feshbach is used to construct the Heisenberg picture of time dependent field operators in two mutually orthogonal subspaces. A particular form of Zwanzig's generalized master equation involving time dependent Hamiltonians and Liouville superoperators is obtained, from which it is verified that the emerging memory superoperator must satisfy the Volterra integral equation whose kernels involve superoperators which couple the two subspaces at a common instant of time. The subsequent development to describe the time dependence involves time-order cosine and sine projected memory superoperators. It is also shown that this projection separation admits a coupling-decoupling structure for the total (sum over the two subspaces) field operator time evolution which reveals the flux of density from one subspace to the other. The present development to obtain evolution equations for field operators allows a partition of the p-particle reduced density matrix master equation into relevant and irrelevant parts. Such a separation is exact and represents the time dependent fluctuations around the static density coming from the interference terms between the Hamiltonian states in the Liouville space. © 1998 Elsevier Science B.V. All rights reserved. |l eng | |
| 536 | |a Detalles de la financiación: Universidad de Buenos Aires, EX-006 | ||
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 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) and the Consejo Nacional de Investigaciones Cientı́ficas y Técnicas, República Argentina (Res. No. 1047-48/93). The authors are grateful to the Departament of Physics, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, for facilities provided during the course of this work. | ||
| 593 | |a Departamento de Física, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a FIELD OPERATORS |
| 690 | 1 | 0 | |a MEMORY SUPEROPERATORS |
| 690 | 1 | 0 | |a PARTITIONING TECHNIQUE |
| 690 | 1 | 0 | |a TIME EVOLUTION |
| 700 | 1 | |a Grinberg, H. | |
| 773 | 0 | |d Elsevier, 1998 |g v. 433 |h pp. 19-26 |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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