Abstract:
We introduce a 'proper time' formalism to study the instability of the vacuum in a uniform external electric field due to particle production. This formalism allows us to reduce a quantum field-theoretic problem to a quantum mechanical one in a higher dimension. The instability results from the inverted oscillator structure which appears in the Hamiltonian. We show that the 'proper time' unitary evolution splits into two semigroups. The semigroup associated with decaying Gamov vectors is related to the Feynman boundary conditions for the Green functions and the semigroup associated with growing Gamov vectors is related to the Dyson boundary conditions.
Referencias:
- Aghassi, J.J., Roman, P., Santilli, R.M., (1970) Physical Review D, 1, p. 2753
- Aparicio, J.P., Gaioli, F.H., Garcia-Alvarez, E.T., (1995) Physical Review A, 51, p. 96
- Aparicio, J.P., Gaioli, F.H., Garcia-Alvarez, E.T., (1995) Physics Letters A, 200, p. 233
- Bohm, A., Gadella, M., Mainland, G.B., (1989) American Journal of Physics, 57, p. 1103
- Bredov, M., Rumiántsev, V., Toptiguin, I., (1984) Electrodinámica Clásica, p. 76. , Mir, Moscow
- Brout, R., Parentani, R., (1992) Nuclear Physics B, 388, p. 474
- Brout, R., Parentani, R., Spindel, P., (1991) Nuclear Physics B, 353, p. 209
- Castagnino, M.A., Diener, R.B., Lara, L., Puccini, G., Rigged Hilbert space and time asymmetry: The case of the upside-down harmonic oscillator (1997) International Journal of Theoretical Physics, , this issue
- Euler, H., Kockel, B., (1935) Naturwissenschaften, 23, p. 246
- Fanci, J.R., (1993) Parametrized Relativistic Quantum Theory, , Kluwer, Boston
- Feshbach, H., Villars, W., (1958) Reviews of Modern Physics, 30, p. 24
- Feynman, R.P., (1948) Physical Review, 74, p. 939
- Feynman, R.P., (1949) Physical Review, 76, p. 749
- Feynman, R.P., (1949) Physical Review, 76, p. 769
- Feynman, R.P., (1950) Physical Review, 80, p. 440
- Feynman, R.P., (1951) Physical Review, 84, p. 108
- Fock, V., (1973) Physikalische Zeitschrift Sowjetunion, 12, p. 404
- Gaioli, F.H., Garcia-Alvarez, E.T., (1994) General Relativity and Gravitation, 26, p. 1267
- Garcia-Alvarez, E.T., Gaioli, F.H., On the quantum electrodynamics of moving bodies (1997) International Journal of Theoretical Physics, , this issue
- Hartle, J.B., Hawking, S.W., (1976) Physical Review D, 13, p. 2188
- Heisenberg, W., Euler, H., (1936) Zeitschrift für Physik, 98, p. 714
- Horwitz, L.P., Piron, C., (1973) Helvetica Physica Acta, 46, p. 316
- Lifshitz, E.M., Pitaevskii, L.P., (1971) Relativistic Quantum Theory, Part 2, , Pergamon, Oxford, 1971, Section 126
- Nambu, Y., (1950) Progress of Theoretical Physics, 5, p. 82
- Rumpf, H., (1977) Acta Physica Austriaca Supplementum, 18, p. 873
- Rumpf, H., Urbantke, H.K., (1978) Annals of Physics, 114, p. 332
- Schwinger, J., (1951) Physical Review, 82, p. 664
- Sonego, S., (1991) Physical Review A, 44, p. 5369
- Stephens, C.R., (1988) Annals of Physics, 181, p. 120
- Stueckelberg, E.C.G., (1941) Helvetica Physica Acta, 14, p. 322
- Stueckelberg, E.C.G., (1942) Helvetica Physica Acta, 15, p. 23
Citas:
---------- APA ----------
Gaioli, F.H., Garcia-Alvarez, E.T. & Castagnino, M.A.
(1997)
. The gamow vectors and the schwinger effect. International Journal of Theoretical Physics, 36(11), 2371-2389.
http://dx.doi.org/10.1007/BF02768930---------- CHICAGO ----------
Gaioli, F.H., Garcia-Alvarez, E.T., Castagnino, M.A.
"The gamow vectors and the schwinger effect"
. International Journal of Theoretical Physics 36, no. 11
(1997) : 2371-2389.
http://dx.doi.org/10.1007/BF02768930---------- MLA ----------
Gaioli, F.H., Garcia-Alvarez, E.T., Castagnino, M.A.
"The gamow vectors and the schwinger effect"
. International Journal of Theoretical Physics, vol. 36, no. 11, 1997, pp. 2371-2389.
http://dx.doi.org/10.1007/BF02768930---------- VANCOUVER ----------
Gaioli, F.H., Garcia-Alvarez, E.T., Castagnino, M.A. The gamow vectors and the schwinger effect. Int. J. Theor. Phys. 1997;36(11):2371-2389.
http://dx.doi.org/10.1007/BF02768930