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The Poincare-Birkhoff theorem in Quantum Mechanics
- Publication Year :
- 2011
-
Abstract
- Quantum manifestations of the dynamics around resonant tori in perturbed Hamiltonian systems, dictated by the Poincar\'e--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.<br />Comment: 5 pages, 3 figures, Full resolution figures available at http://www.df.uba.ar/users/wisniaki/publications.html
- Subjects :
- Nonlinear Sciences - Chaotic Dynamics
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1105.1461
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.84.026206