Poincaré-Birkhoff theorem in quantum mechanics
Quantum manifestations of the dynamics around resonant tori in perturbed Hamiltonian systems, dictated by the Poincaré-Birkhoff theorem, are shown to exist. They are embedded in the interactions involving states which differ in a number of quanta equal to the order of the classical resonance. Moreov...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15393755_v84_n2_p_Wisniacki |
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todo:paper_15393755_v84_n2_p_Wisniacki2023-10-03T16:22:38Z Poincaré-Birkhoff theorem in quantum mechanics Wisniacki, D.A. Saraceno, M. Arranz, F.J. Benito, R.M. Borondo, F. Density functions Hamiltonian systems Phase space structures Poincare Quasiprobability Phase space methods Quantum theory Hamiltonians Quantum manifestations of the dynamics around resonant tori in perturbed Hamiltonian systems, dictated by the Poincaré-Birkhoff theorem, are shown to exist. They are embedded in the interactions involving states which differ in a number of quanta equal to the order of the classical resonance. Moreover, the associated classical phase space structures are mimicked in the quasiprobability density functions and their zeros. © 2011 American Physical Society. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Saraceno, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v84_n2_p_Wisniacki |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Density functions Hamiltonian systems Phase space structures Poincare Quasiprobability Phase space methods Quantum theory Hamiltonians |
| spellingShingle |
Density functions Hamiltonian systems Phase space structures Poincare Quasiprobability Phase space methods Quantum theory Hamiltonians Wisniacki, D.A. Saraceno, M. Arranz, F.J. Benito, R.M. Borondo, F. Poincaré-Birkhoff theorem in quantum mechanics |
| topic_facet |
Density functions Hamiltonian systems Phase space structures Poincare Quasiprobability Phase space methods Quantum theory Hamiltonians |
| description |
Quantum manifestations of the dynamics around resonant tori in perturbed Hamiltonian systems, dictated by the Poincaré-Birkhoff theorem, are shown to exist. They are embedded in the interactions involving states which differ in a number of quanta equal to the order of the classical resonance. Moreover, the associated classical phase space structures are mimicked in the quasiprobability density functions and their zeros. © 2011 American Physical Society. |
| format |
JOUR |
| author |
Wisniacki, D.A. Saraceno, M. Arranz, F.J. Benito, R.M. Borondo, F. |
| author_facet |
Wisniacki, D.A. Saraceno, M. Arranz, F.J. Benito, R.M. Borondo, F. |
| author_sort |
Wisniacki, D.A. |
| title |
Poincaré-Birkhoff theorem in quantum mechanics |
| title_short |
Poincaré-Birkhoff theorem in quantum mechanics |
| title_full |
Poincaré-Birkhoff theorem in quantum mechanics |
| title_fullStr |
Poincaré-Birkhoff theorem in quantum mechanics |
| title_full_unstemmed |
Poincaré-Birkhoff theorem in quantum mechanics |
| title_sort |
poincaré-birkhoff theorem in quantum mechanics |
| url |
http://hdl.handle.net/20.500.12110/paper_15393755_v84_n2_p_Wisniacki |
| work_keys_str_mv |
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| _version_ |
1782027870865981440 |