Abstract:
The scaling properties of the exact wave functions in the two-level pairing model are studied and a well-defined limit, when the number of pairs goes to infinity, is found. An approximate method for obtaining the scaled wave functions is discussed. Well-known methods for relating finite-difference equations with differential ones are used, together with a semiclassical expansion. The approximate results obtained agree well with the exact ones. A comparison with the time-dependent Hartree-Fock approach is also done. © 1997 The American Physical Society.
Registro:
| Documento: |
Artículo
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| Título: | How to scale the wave functions in a simple solvable model |
| Autor: | Cambiaggio, M.C.; Sanchez, L.M.; Dussel, G.G. |
| Filiación: | Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, Buenos Aires, 1429, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
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| Año: | 1997
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| Volumen: | 56
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| Número: | 5
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| Página de inicio: | 2508
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| Página de fin: | 2517
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| DOI: |
http://dx.doi.org/10.1103/PhysRevC.56.2508 |
| Título revista: | Physical Review C - Nuclear Physics
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| Título revista abreviado: | Phys. Rev. C Nucl. Phys.
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| ISSN: | 05562813
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| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v56_n5_p2508_Cambiaggio |
Referencias:
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- Curutchet, P., Dukelsky, J., Dussel, G., Fendrik, A.J., (1989) Phys. Rev. C, 40, p. 2361
- Cambiaggio, M.C., Dussel, G.G., Ramirez, J.A., (1991) Phys. Rev. C, 44, p. 184
- Cambiaggio, M.C., Dussel, G.G., Saraceno, M., (1984) Nucl. Phys., A415, p. 70
- Cambiaggio, M.C., Dussel, G.G., Saraceno, M., (1984) Phys. Lett., 135B, p. 10
- Pauling, L., Wilson, E.B., (1935) Introduction to Quantum Mechanics, , McGraw-Hill, New York
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- L. D. Landau and E. M. Lifschitz, Quantum Mechanics (Pergamon, Oxford, 1958), in particular, Chap. VII; D. R. Bes and R. A. Sorensen, Advances in Nuclear Physics (Plenum, New York, 1969), Vol. 2, pp. 129ff
Citas:
---------- APA ----------
Cambiaggio, M.C., Sanchez, L.M. & Dussel, G.G.
(1997)
. How to scale the wave functions in a simple solvable model. Physical Review C - Nuclear Physics, 56(5), 2508-2517.
http://dx.doi.org/10.1103/PhysRevC.56.2508---------- CHICAGO ----------
Cambiaggio, M.C., Sanchez, L.M., Dussel, G.G.
"How to scale the wave functions in a simple solvable model"
. Physical Review C - Nuclear Physics 56, no. 5
(1997) : 2508-2517.
http://dx.doi.org/10.1103/PhysRevC.56.2508---------- MLA ----------
Cambiaggio, M.C., Sanchez, L.M., Dussel, G.G.
"How to scale the wave functions in a simple solvable model"
. Physical Review C - Nuclear Physics, vol. 56, no. 5, 1997, pp. 2508-2517.
http://dx.doi.org/10.1103/PhysRevC.56.2508---------- VANCOUVER ----------
Cambiaggio, M.C., Sanchez, L.M., Dussel, G.G. How to scale the wave functions in a simple solvable model. Phys. Rev. C Nucl. Phys. 1997;56(5):2508-2517.
http://dx.doi.org/10.1103/PhysRevC.56.2508