Feynman path-integral representation of field operators and memory superoperators in a Liouville space

The Feynman path-integral representation for memory superoperators is investigated. A physical interpretation of evolution superoperators in a Liouville space is given and shown to be closely related to the Feynman representation of quantum mechanics. From a general Huygens-like principle it is poss...

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Autor principal: Bochicchio, Roberto Carlos
Otros Autores: Grinberg, Horacio
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1990
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100 1 |a Bochicchio, Roberto Carlos 
245 1 0 |a Feynman path-integral representation of field operators and memory superoperators in a Liouville space 
260 |c 1990 
270 1 0 |m Bochicchio, R.C.; Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina 
504 |a Feynman, R.P., (1948) Rev. Mod. Phys., 20, p. 367 
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504 |a Shulman, L.S., (1981) Techniques and Applications of Path Integration, , Wiley, New York 
504 |a Feynman, R.P., (1972) Statistical Mechanics, , Benjamin/Cummings, Reading, MA 
504 |a Amit, D.J., (1978) Field Theory, The Renormalization Group and Critical Phenomena, , McGraw-Hill, New York 
504 |a Negele, J.W., (1982) Rev. Mod. Phys., 54, p. 913 
504 |a Duru, I.H., Kleinert, H., (1979) Phys. Lett., 84 B, p. 185 
504 |a Ho, R., Inomata, A., (1982) Phys. Rev. Lett., 48, p. 231 
504 |a Inomata, A., (1984) Phys. Lett., 101 A, p. 253 
504 |a Steiner, F., (1984) Phys. Lett., 106 A, p. 356 
504 |a Steiner, F., (1984) Phys. Lett., 106 A, p. 363 
504 |a Gerry, G.C., (1984) Phys. Lett., 142 B, p. 391 
504 |a Grinberg, H., Marañón, J., Vucetich, H., Atomic orbitals of the nonrelativistic hydrogen atom in a four-dimensional Riemann space through the path integral formalism (1983) The Journal of Chemical Physics, 78, p. 839 
504 |a Grinberg, H., Marañón, J., Vucetich, H., (1983) Int. J. Quantum Chem., 23, p. 329 
504 |a Grinberg, H., Marañón, J., (1983) Phys. Lett., 94 A, p. 275 
504 |a Marañón, J., Grinberg, H., Feynman path integral and the Hückel model (1984) The Journal of Chemical Physics, 81, p. 4537 
504 |a Thornber, K.K., (1970) Phys. Rev. B, 1, p. 4099 
504 |a Thornber, K.K., (1971) Phys. Rev. B, 3, p. 1929 
504 |a Edwards, S.F., Freed, K.F., (1970) J. Phys. C, 3, p. 739 
504 |a Freed, K.F., (1971) J. Chem. Phys., 54, p. 1453 
504 |a Edwards, S.F., Grant, J.W., (1973) J. Phys. A, 6, p. 1169 
504 |a Wiegel, F.W., (1986) Introduction to Path-Integral Methods in Physics and Polymer Science, , World Scientific, Singapore 
504 |a Freed, K.F., (1987) Renormalization Group Theory of Macromolecules, , Wiley, New York 
504 |a Gutzwiller, M.C., (1978) Path Integrals and Their Applications in Quantum, Statistical and Solid State Physics, , edited by, G. J. Papadopoulos, J. T. Devreese, Plenum, New York 
504 |a Hawking, S., (1979) General Relativity—and Einstein Centenary Survey, , edited by, S. Hawking, W. Israel, Cambridge University Press, London 
504 |a Turner, R.E., Dahler, J.S., (1980) J. Phys. B, 13, p. 161 
504 |a Turner, R.E., Dahler, J.S., Snider, R.F., Projected evolution superoperators and the density operator: theory and applications to inelastic scattering (1982) Canadian Journal of Physics, 60, p. 1371 
504 |a H. Grinberg, International Centre for Theoretical Physics Report No. IC/83/172; Dyson, F.J., (1949) Phys. Rev., 75, p. 1736 
504 |a Lam, C.C., Fung, P.C.W., (1983) Phys. Rev. A, 27, p. 1760 
504 |a Fung, P.C.W., Lam, C.C., (1984) Phys. Rev. A, 29, p. 2364 
504 |a Zwanzig, R., (1960) J. Chem. Phys., 33, p. 1338 
504 |a Zwanzig, R., (1964) Physica, 30, p. 1109 
504 |a Feshbach, H., (1962) Ann. Phys. (N.Y.), 19, p. 287 
504 |a G. J. Papadopoulos, in Ref. 18; A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle Systems (McGraw-Hill, New York, 1966); L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962); Reif, F., (1965) Fundamentals of Statistical and Thermal Physics, , McGraw-Hill Kogakusha, Tokyo, Chap. 9 
506 |2 openaire  |e Política editorial 
520 3 |a The Feynman path-integral representation for memory superoperators is investigated. A physical interpretation of evolution superoperators in a Liouville space is given and shown to be closely related to the Feynman representation of quantum mechanics. From a general Huygens-like principle it is possible to obtain the Feynman path-integral representation for field operators. An application of the present formalism to a noninteracting many-boson system is provided. © 1990 The American Physical Society.  |l eng 
593 |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina 
700 1 |a Grinberg, Horacio 
773 0 |d 1990  |g v. 41  |h pp. 5814-5819  |k n. 11  |x 10502947  |t Physical Review A 
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