Abstract:
We analyze the symmetry-conserving-variational-dynamics and the time-dependent-generator-coordinate methods showing their equivalence for a large class of problems. The application to actual calculations involving the restoration of the rotational symmetry in nuclear dynamics is examined together with the Gaussian overlap hypothesis. It is shown that the range of validity of the combined approach is restricted to very weak symmetry breaking. The relative location of the method in the context of variational approximations to the dynamics is established as well as the various relations among different procedures. © 1985 The American Physical Society.
Referencias:
- Bonche, P., Koonin, S., Negele, J.W., (1976) Phys. Rev. C, 13, p. 1226
- Negele, J.W., (1982) Rev. Mod. Phys., 54, p. 913
- Davies, K.T.R., Koonin, S.E., Strayer, M.R., (1982), Marmal Aid; Irvine, J., (1982) Comp. Phys. Commun., 26, p. 433
- Flocard, H., (1982) Nucl. Phys., 387 A, p. C283
- Gilmore, R., The classical limit of quantum nonspin systems (1979) Journal of Mathematical Physics, 20, p. 891
- Kuratsuji, H., Suzuki, T., (1980) Phys. Lett., 92 B, p. 19
- Reinhardt, P.G., (1979) J. Phys. G, 65, p. L91
- Lichtner, P., Griffin, J.J., (1979) Phys. Rev. Lett., 37, p. 1521
- Solari, H.G., Hernández, E.S., (1983) Phys. Rev. C, 28, p. 2472
- Solari, H.G., Hernández, E.S., Z. Phys. A (to be published); Blaizot, J.P., Orland, H., (1981) Phys. Lett., 100 B, p. 195
- Levit, S., (1980) Phys. Rev. C, 21, p. 1594
- Suzuki, T., (1983) Nucl. Phys., 398 A, p. 557
- Balian, R., Veneroni, M., (1984) Phys. Lett., 136 B, p. 301
- Solari, H.G., ; Lamme, H.A., Boeker, E., (1968) Nucl. Phys., 111 A, p. 492
- Faessler, A., Plastino, A., (1970) Z. Phys., 239, p. 73
- Brink, D.M., Weiguny, A., (1968) Nucl. Phys., 120 A, p. 59
- Brink, D.M., Weiguny, A., (1968) Phys. Lett, 26 B, p. 497
- Reinhardt, H., Cusson, R.Y., Goeke, K., (1983) Nucl. Phys., 398 A, p. 141
- Hernández, E.S., Solari, H.G., ; Hill, D.L., Wheeler, J.A., (1953) Phys. Rev., 89, p. 1102
- Griffin, J.J., Wheeler, J.A., (1957) Phys. Rev., 108, p. 311
- Flocard, H., Vautherin, D., (1976) Nucl. Phys., 264 A, p. 197
- Marcos, S., Flocard, H., Heenen, P.H., (1983) Nucl. Phys., 410 A, p. 125
- Barrett, R.F., Robson, B.A., Tobocman, W., (1983) Rev. Mod. Phys., 55, p. 155
- Ring, P., Schuck, P., (1980) The Nuclear Many Body Problem, , Springer, Berlin
- Flocard, H., Koonin, S.E., Weiss, M.S., (1978) Phys. Rev. C, 17, p. 1682
- Rowe, D.J., Ryman, A., Rosensteel, G., (1980) Phys. Rev. A, 22, p. 2362
- H. G. Solari, Ph.D. thesis, University of Buenos Aires, 1984 (unpublished); Peierls, R.E., Yoccoz, S., (1957) Proc. Phys. Soc. London, 70 A, p. 381
- Bohr, A., Mottelson, B., (1969) Nuclear Structure, , Benjamin, Reading, Mass
- Gilmore, R., (1974) Lie Groups, Lie Algebras and Some of Their Applications, , Wiley, New York
- Hamermesh, M., (1964) Group Theory, , Addison-Wesley, Reading, Mass
Citas:
---------- APA ----------
Solari, H.G. & Hernandez, E.S.
(1985)
. Possibility of dynamical symmetry restoration in the Gaussian overlap approximation. Physical Review C, 32(2), 462-470.
http://dx.doi.org/10.1103/PhysRevC.32.462---------- CHICAGO ----------
Solari, H.G., Hernandez, E.S.
"Possibility of dynamical symmetry restoration in the Gaussian overlap approximation"
. Physical Review C 32, no. 2
(1985) : 462-470.
http://dx.doi.org/10.1103/PhysRevC.32.462---------- MLA ----------
Solari, H.G., Hernandez, E.S.
"Possibility of dynamical symmetry restoration in the Gaussian overlap approximation"
. Physical Review C, vol. 32, no. 2, 1985, pp. 462-470.
http://dx.doi.org/10.1103/PhysRevC.32.462---------- VANCOUVER ----------
Solari, H.G., Hernandez, E.S. Possibility of dynamical symmetry restoration in the Gaussian overlap approximation. 1985;32(2):462-470.
http://dx.doi.org/10.1103/PhysRevC.32.462