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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Detalles Bibliográficos
Autores principales: Wisniacki, D.A., Saraceno, M., Arranz, F.J., Benito, R.M., Borondo, F.
Formato: JOUR
Materias:
Density functions
Hamiltonian systems
Phase space structures
Poincare
Quasiprobability
Phase space methods
Quantum theory
Hamiltonians
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v84_n2_p_Wisniacki
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

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