The Wigner function of two dimensional tori: Uniform approximation and projections

DOI10.1016/0003-4916(83)90173-2zbMath0517.70020OpenAlexW2100924538MaRDI QIDQ1053470

Alfredo M. Ozorio de Almeida

Publication date: 1983

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(83)90173-2

zbMATH Keywords

Wigner functionWKB approximationturning pointsemi-classical limitWigner causticf-dimensional torusquantum description of chaotic motionuniform Airy approximation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbation theories for operators and differential equations in quantum theory (81Q15) General mathematical topics and methods in quantum theory (81Q99) Catastrophe theory (58K35) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Uniformization of WKB functions by Wigner transform ⋮ Unnamed Item ⋮ Entanglement in Phase Space

Cites Work

• Unnamed Item
• Geometry of two dimensional tori in phase space: Projections, sections and the Wigner function
• Effect of a Gravitational Field, Due to a Rotating Body, on the Plane of Polarization of an Electromagnetic Wave
• Semi-classical mechanics in phase space: A study of Wigner’s function
• Phase-space projection identities for diffraction catastrophes

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