Navegar

Colección

Datos Estadísticas

Artículo

El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The upside-down simple harmonic oscillator system is studied in the contexts of quantum mechanics and classical statistical mechanics. It is shown that in order to study in a simple manner the creation and decay of a physical system by way of Gamow vectors we must formulate the theory in a time-asymmetric fashion, namely using two different rigged Hilbert spaces to describe states evolving toward the past and the future. The spaces defined in the contexts of quantum and classical statistical mechanics are shown to be directly related by the Wigner function.

Registro:

Documento: Artículo
Título:Rigged hilbert spaces and time asymmetry: The case of the upside-down simple harmonic oscillator
Autor:Castagnino, M.; Diener, R.; Lara, L.; Puccini, G.
Filiación:IAFE, C.P. 1428, Buenos Aires, Argentina
Facultad de Ciencias Exactas, Ingeniería y Agrimensura, 2000 Rosario, Argentina
Año:1997
Volumen:36
Número:11
Página de inicio:2349
Página de fin:2369
DOI: http://dx.doi.org/10.1007/BF02768929
Título revista:International Journal of Theoretical Physics
Título revista abreviado:Int. J. Theor. Phys.
ISSN:00207748
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v36_n11_p2349_Castagnino

Referencias:

  • Aquilano, R., Castagnino, M., (1996) Modern Physics Letters A, , in press
  • Antoniou, I.E., Prigogine, I., (1993) Physica A, 192, p. 443
  • Antoniou, I., Tasaki, S., (1992) Physica A, 190, p. 303
  • Antoniou, I., Tasaki, S., (1993) Journal of Physics A, 26, p. 73
  • Balazs, N.L., Voros, A., (1990) Annals of Physics, 199, p. 123
  • Barton, G., (1986) Annals of Physics, 166, p. 322
  • Bohm, A., (1986) Quantum Mechanics: Foundations and Applications, 2nd Ed., , Springer-Verlag, Berlin
  • Bohm, A., Gadella, M., (1989) Dirac Kets, Gamow Vectors and Gel'fand Triplets: The Rigged Hilbert Space Formulation of Quantum Mechanics, , Springer-Verlag, Berlin
  • Bollini, C.G., Oxman, L.E., (1993) Physical Review A, 47, p. 2339
  • Cohen-Tannoudji, C., Diu, B., Laloe, F., (1977) Quantum Mechanics, 1. , Wiley, New York
  • Davies, P.C.W., Stirring up trouble (1994) Physical Origin of Time Asymmetry, , J. J. Haliwell et al., eds., Cambridge University Press, Cambridge
  • Gel'fand, I.M., Shilov, N.Y., (1964) Generalized Functions, Vol. 4, Applications of Harmonic Analysis, 4. , Academic Press, New York
  • Hillery, M., O'Connell, R.F., Scully, M.O., Wigner, E.P., (1984) Physics Reports, 106, p. 121
  • Merzbacher, E., (1970) Quantum Mechanics, 2nd Ed., , Wiley, New York
  • Reichenbach, H., (1956) The Direction of Time, , University of California Press, Berkeley

Citas:

---------- APA ----------
Castagnino, M., Diener, R., Lara, L. & Puccini, G. (1997) . Rigged hilbert spaces and time asymmetry: The case of the upside-down simple harmonic oscillator. International Journal of Theoretical Physics, 36(11), 2349-2369.
http://dx.doi.org/10.1007/BF02768929
---------- CHICAGO ----------
Castagnino, M., Diener, R., Lara, L., Puccini, G. "Rigged hilbert spaces and time asymmetry: The case of the upside-down simple harmonic oscillator" . International Journal of Theoretical Physics 36, no. 11 (1997) : 2349-2369.
http://dx.doi.org/10.1007/BF02768929
---------- MLA ----------
Castagnino, M., Diener, R., Lara, L., Puccini, G. "Rigged hilbert spaces and time asymmetry: The case of the upside-down simple harmonic oscillator" . International Journal of Theoretical Physics, vol. 36, no. 11, 1997, pp. 2349-2369.
http://dx.doi.org/10.1007/BF02768929
---------- VANCOUVER ----------
Castagnino, M., Diener, R., Lara, L., Puccini, G. Rigged hilbert spaces and time asymmetry: The case of the upside-down simple harmonic oscillator. Int. J. Theor. Phys. 1997;36(11):2349-2369.
http://dx.doi.org/10.1007/BF02768929