Classical and Quantum Action-Phase Variables for Time-Dependent Oscillators

dc.creatorKim, Sang Pyo
dc.creatorPage, Don N.
dc.date2001-01-16
dc.date2001-03-07
dc.date.accessioned2026-07-07T12:04:19Z
dc.date.available2026-07-07T12:04:19Z
dc.descriptionFor a time-dependent classical quadratic oscillator we introduce pairs of real and complex invariants that are linear in position and momentum. Each pair of invariants realize explicitly a canonical transformation from the phase space to the invariant space, in which the action-phase variables are defined. We find the action operator for the time-dependent oscillator via the classical-quantum correspondence. Candidate phase operators conjugate to the action operator are discussed, but no satisfactory ones are found.
dc.descriptionRevTex 15 pages, no figure; appendices and references added
dc.identifierhttps://arxiv.org/abs/quant-ph/0101076
dc.identifierhttp://arxiv.org/abs/quant-ph/0101076
dc.identifierPhys.Rev.A64:012104,2001
dc.identifierdoi:10.1103/PhysRevA.64.012104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208098
dc.subjectQuantum Physics
dc.titleClassical and Quantum Action-Phase Variables for Time-Dependent Oscillators
dc.typetext

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