Characterization of Landau-Zener transitions in systems with complex spectra
This paper is concerned with the study of one-body dissipation effects in idealized models resembling a nucleus. In particular, we study the quantum mechanics of a free particle that collides elastically with the slowly moving walls of a Bunimovich stadium billiard. Our results are twofold. First, w...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1063651X_v54_n5_p4812_Sanchez |
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todo:paper_1063651X_v54_n5_p4812_Sanchez2023-10-03T16:01:17Z Characterization of Landau-Zener transitions in systems with complex spectra Sánchez, M.J. Vergini, E. Wisniacki, D.A. This paper is concerned with the study of one-body dissipation effects in idealized models resembling a nucleus. In particular, we study the quantum mechanics of a free particle that collides elastically with the slowly moving walls of a Bunimovich stadium billiard. Our results are twofold. First, we develop a method to solve in a simple way the quantum mechanical evolution of planar billiards with moving walls. The formalism is based on the scaling method [E. Vergini and M. Saraceno, Phys. Rev. E 52, 2204 (1995)] which enables the resolution of the problem in terms of quantities defined over the boundary of the billiard. The second result is related to the quantum aspects of dissipation in systems with complex spectra. We conclude that in a slowly varying evolution the energy is transferred from the boundary to the particle through Landau-Zener transitions. © 1996 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v54_n5_p4812_Sanchez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
This paper is concerned with the study of one-body dissipation effects in idealized models resembling a nucleus. In particular, we study the quantum mechanics of a free particle that collides elastically with the slowly moving walls of a Bunimovich stadium billiard. Our results are twofold. First, we develop a method to solve in a simple way the quantum mechanical evolution of planar billiards with moving walls. The formalism is based on the scaling method [E. Vergini and M. Saraceno, Phys. Rev. E 52, 2204 (1995)] which enables the resolution of the problem in terms of quantities defined over the boundary of the billiard. The second result is related to the quantum aspects of dissipation in systems with complex spectra. We conclude that in a slowly varying evolution the energy is transferred from the boundary to the particle through Landau-Zener transitions. © 1996 The American Physical Society. |
| format |
JOUR |
| author |
Sánchez, M.J. Vergini, E. Wisniacki, D.A. |
| spellingShingle |
Sánchez, M.J. Vergini, E. Wisniacki, D.A. Characterization of Landau-Zener transitions in systems with complex spectra |
| author_facet |
Sánchez, M.J. Vergini, E. Wisniacki, D.A. |
| author_sort |
Sánchez, M.J. |
| title |
Characterization of Landau-Zener transitions in systems with complex spectra |
| title_short |
Characterization of Landau-Zener transitions in systems with complex spectra |
| title_full |
Characterization of Landau-Zener transitions in systems with complex spectra |
| title_fullStr |
Characterization of Landau-Zener transitions in systems with complex spectra |
| title_full_unstemmed |
Characterization of Landau-Zener transitions in systems with complex spectra |
| title_sort |
characterization of landau-zener transitions in systems with complex spectra |
| url |
http://hdl.handle.net/20.500.12110/paper_1063651X_v54_n5_p4812_Sanchez |
| work_keys_str_mv |
AT sanchezmj characterizationoflandauzenertransitionsinsystemswithcomplexspectra AT verginie characterizationoflandauzenertransitionsinsystemswithcomplexspectra AT wisniackida characterizationoflandauzenertransitionsinsystemswithcomplexspectra |
| _version_ |
1782027390099128320 |