Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

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.

Registro:

Documento: Artículo
Título:Feynman path-integral representation of field operators and memory superoperators in a Liouville space
Autor:Bochicchio, R.C.; Grinberg, H.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Año:1990
Volumen:41
Número:11
Página de inicio:5814
Página de fin:5819
DOI: http://dx.doi.org/10.1103/PhysRevA.41.5814
Título revista:Physical Review A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v41_n11_p5814_Bochicchio

Referencias:

  • Feynman, R.P., (1948) Rev. Mod. Phys., 20, p. 367
  • Feynman, R.P., Hibbs, A.R., (1965) Quantum Mechanics and Path Integrals, , McGraw-Hill, New York
  • Shulman, L.S., (1981) Techniques and Applications of Path Integration, , Wiley, New York
  • Feynman, R.P., (1972) Statistical Mechanics, , Benjamin/Cummings, Reading, MA
  • Amit, D.J., (1978) Field Theory, The Renormalization Group and Critical Phenomena, , McGraw-Hill, New York
  • Negele, J.W., (1982) Rev. Mod. Phys., 54, p. 913
  • Duru, I.H., Kleinert, H., (1979) Phys. Lett., 84 B, p. 185
  • Ho, R., Inomata, A., (1982) Phys. Rev. Lett., 48, p. 231
  • Inomata, A., (1984) Phys. Lett., 101 A, p. 253
  • Steiner, F., (1984) Phys. Lett., 106 A, p. 356
  • Steiner, F., (1984) Phys. Lett., 106 A, p. 363
  • Gerry, G.C., (1984) Phys. Lett., 142 B, p. 391
  • 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
  • Grinberg, H., Marañón, J., Vucetich, H., (1983) Int. J. Quantum Chem., 23, p. 329
  • Grinberg, H., Marañón, J., (1983) Phys. Lett., 94 A, p. 275
  • Marañón, J., Grinberg, H., Feynman path integral and the Hückel model (1984) The Journal of Chemical Physics, 81, p. 4537
  • Thornber, K.K., (1970) Phys. Rev. B, 1, p. 4099
  • Thornber, K.K., (1971) Phys. Rev. B, 3, p. 1929
  • Edwards, S.F., Freed, K.F., (1970) J. Phys. C, 3, p. 739
  • Freed, K.F., (1971) J. Chem. Phys., 54, p. 1453
  • Edwards, S.F., Grant, J.W., (1973) J. Phys. A, 6, p. 1169
  • Wiegel, F.W., (1986) Introduction to Path-Integral Methods in Physics and Polymer Science, , World Scientific, Singapore
  • Freed, K.F., (1987) Renormalization Group Theory of Macromolecules, , Wiley, New York
  • 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
  • Hawking, S., (1979) General Relativity—and Einstein Centenary Survey, , edited by, S. Hawking, W. Israel, Cambridge University Press, London
  • Turner, R.E., Dahler, J.S., (1980) J. Phys. B, 13, p. 161
  • 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
  • H. Grinberg, International Centre for Theoretical Physics Report No. IC/83/172; Dyson, F.J., (1949) Phys. Rev., 75, p. 1736
  • Lam, C.C., Fung, P.C.W., (1983) Phys. Rev. A, 27, p. 1760
  • Fung, P.C.W., Lam, C.C., (1984) Phys. Rev. A, 29, p. 2364
  • Zwanzig, R., (1960) J. Chem. Phys., 33, p. 1338
  • Zwanzig, R., (1964) Physica, 30, p. 1109
  • Feshbach, H., (1962) Ann. Phys. (N.Y.), 19, p. 287
  • 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

Citas:

---------- APA ----------
Bochicchio, R.C. & Grinberg, H. (1990) . Feynman path-integral representation of field operators and memory superoperators in a Liouville space. Physical Review A, 41(11), 5814-5819.
http://dx.doi.org/10.1103/PhysRevA.41.5814
---------- CHICAGO ----------
Bochicchio, R.C., Grinberg, H. "Feynman path-integral representation of field operators and memory superoperators in a Liouville space" . Physical Review A 41, no. 11 (1990) : 5814-5819.
http://dx.doi.org/10.1103/PhysRevA.41.5814
---------- MLA ----------
Bochicchio, R.C., Grinberg, H. "Feynman path-integral representation of field operators and memory superoperators in a Liouville space" . Physical Review A, vol. 41, no. 11, 1990, pp. 5814-5819.
http://dx.doi.org/10.1103/PhysRevA.41.5814
---------- VANCOUVER ----------
Bochicchio, R.C., Grinberg, H. Feynman path-integral representation of field operators and memory superoperators in a Liouville space. 1990;41(11):5814-5819.
http://dx.doi.org/10.1103/PhysRevA.41.5814