Artículo
Abstract:
The thermal and the time-dependent versions of the Hartree-Fock-Bogoliubov approximation are used to describe the effects of the pairing interaction in a simple model. Similarities and differences between the two approaches are discussed. In the one-shell case analytic results are obtained which clearly show that as the degeneracy increases the exact energies tend to the limits provided by the approximate methods. A relation between the quasiparticle occupation probability and the seniority is established. In the two-shell case the time-dependent approach approximates all the families of exact states labeled by the shell seniority and gives information on the two different phase transitions present in the model. The finite-temperature method, instead, only approximates the exact energy for the lowest state of each family. © 1994 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction |
| Autor: | Cambiaggio, M.C.; Carbone, F.G.; Dussel, G.G. |
| Filiación: | Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, 1429 Buenos Aires, Argentina Departamento de Física, FCEyN, Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Año: | 1994 |
| Volumen: | 49 |
| Número: | 1 |
| Página de inicio: | 194 |
| Página de fin: | 200 |
| DOI: | http://dx.doi.org/10.1103/PhysRevC.49.194 |
| Título revista: | Physical Review C |
| ISSN: | 05562813 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v49_n1_p194_Cambiaggio |
Referencias:
- Ring, P., Schuck, P., (1980) The Nuclear Many Body Problem, , Springer, New York, especially Sec. 6.6.3
- Fetter, A.L., Walecka, J.D., (1971) Quantum Theory of Many Particle Systems, , McGraw Hill, New York, especially Chap. 7
- Thouless, D.J., (1972) The Quantum Mechanics of Many Body Systems, , Academic, New York, especially Chap. III
- Goodman, A., (1981) Nucl. Phys., 352 A, p. 30
- Goodman, A., (1981) Nucl. Phys., 352 A, p. 45
- P. Kramer and M. Saraceno, Geometry of the Time Dependent Variational Principle in Quantum Mechanics, Lecture Notes in Physics, Vol. 140 (Springer, Berlin, 1981); Cambiaggio, M.C., Dussel, G.G., Saraceno, M., (1984) Nucl. Phys., 415 A, p. 70
- D. R. Bes and R. A. Sorensen, Advances in Nuclear Physics (Plenum, New York, 1969), Vol. 2, p. 129 ff; Kan, K.K., (1981) Phys. Rev. C, 24, p. 109
- Kan, K.K., Griffin, J.J., Lichtner, P.C., Dworzecka, M., (1979) Nucl. Phys., 332 A, p. 109
- Kuratsuji, H., (1982) Phys. Lett., 108 B, p. 367
Citas:
---------- APA ----------
Cambiaggio, M.C., Carbone, F.G. & Dussel, G.G. (1994) . Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction. Physical Review C, 49(1), 194-200.http://dx.doi.org/10.1103/PhysRevC.49.194
---------- CHICAGO ----------
Cambiaggio, M.C., Carbone, F.G., Dussel, G.G. "Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction" . Physical Review C 49, no. 1 (1994) : 194-200.http://dx.doi.org/10.1103/PhysRevC.49.194
---------- MLA ----------
Cambiaggio, M.C., Carbone, F.G., Dussel, G.G. "Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction" . Physical Review C, vol. 49, no. 1, 1994, pp. 194-200.http://dx.doi.org/10.1103/PhysRevC.49.194
---------- VANCOUVER ----------
Cambiaggio, M.C., Carbone, F.G., Dussel, G.G. Comparison between the temperature and the time-dependent Hartree-Fock-Bogoliubov descriptions of the pairing interaction. 1994;49(1):194-200.http://dx.doi.org/10.1103/PhysRevC.49.194
