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Wisniacki, D.A.; Saraceno, M.; Arranz, F.J.; Benito, R.M.; Borondo, F. "Poincaré-Birkhoff theorem in quantum mechanics" (2011) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 84(2)
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Abstract:

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.

Registro:

Documento: Artículo
Título:Poincaré-Birkhoff theorem in quantum mechanics
Autor:Wisniacki, D.A.; Saraceno, M.; Arranz, F.J.; Benito, R.M.; Borondo, F.
Filiación:Departamento de Física and IFIBA, FCEyN, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, 1429 Buenos Aires, Argentina
Grupo de Sistemas Complejos, Departamento de Física, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Departamento de Química, Instituto Mixto de Ciencias Matemáticas, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
Palabras clave:Density functions; Hamiltonian systems; Phase space structures; Poincare; Quasiprobability; Phase space methods; Quantum theory; Hamiltonians
Año:2011
Volumen:84
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevE.84.026206
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v84_n2_p_Wisniacki

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Citas:

---------- APA ----------
Wisniacki, D.A., Saraceno, M., Arranz, F.J., Benito, R.M. & Borondo, F. (2011) . Poincaré-Birkhoff theorem in quantum mechanics. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 84(2).
http://dx.doi.org/10.1103/PhysRevE.84.026206
---------- CHICAGO ----------
Wisniacki, D.A., Saraceno, M., Arranz, F.J., Benito, R.M., Borondo, F. "Poincaré-Birkhoff theorem in quantum mechanics" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 84, no. 2 (2011).
http://dx.doi.org/10.1103/PhysRevE.84.026206
---------- MLA ----------
Wisniacki, D.A., Saraceno, M., Arranz, F.J., Benito, R.M., Borondo, F. "Poincaré-Birkhoff theorem in quantum mechanics" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 84, no. 2, 2011.
http://dx.doi.org/10.1103/PhysRevE.84.026206
---------- VANCOUVER ----------
Wisniacki, D.A., Saraceno, M., Arranz, F.J., Benito, R.M., Borondo, F. Poincaré-Birkhoff theorem in quantum mechanics. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;84(2).
http://dx.doi.org/10.1103/PhysRevE.84.026206