Poincaré-Birkhoff theorem in quantum mechanics
Entity
UAM. Departamento de QuímicaDate
2011-08-22Citation
10.1103/PhysRevE.84.026206
Physical Review E 84.2 (2011): 026206
ISSN
1539-3755 (print); 1550-2376 (online)DOI
10.1103/PhysRevE.84.026206Funded by
This work was supported by the MICINN-Spain under Contracts iMath-CONSOLIDER No. CDS2006-32 and No. MTM2009-14621, UBACyT (Grant No. X237), and CONICET (Argentina)Editor's Version
http://dx.doi.org/10.1103/PhysRevE.84.026206Subjects
QuímicaRights
© 2011 American Physical SocietyAbstract
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
Files in this item
Google Scholar:Wisniacki, D. A.
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Saraceno, M.
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Arranz, F. J.
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Benito, R. M.
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Borondo, Florentino
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