dorsal/arxiv
View SchemaClassical and Quantum Action-Phase Variables for Time-Dependent Oscillators
| Authors | Sang Pyo Kim, Don N. Page |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101076 |
| URL | https://arxiv.org/abs/quant-ph/0101076 |
| DOI | 10.1103/PhysRevA.64.012104 |
| Journal | Phys.Rev.A64:012104,2001 |
Abstract
For 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.
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"abstract": "For a time-dependent classical quadratic oscillator we introduce pairs of\nreal and complex invariants that are linear in position and momentum. Each pair\nof invariants realize explicitly a canonical transformation from the phase\nspace to the invariant space, in which the action-phase variables are defined.\nWe find the action operator for the time-dependent oscillator via the\nclassical-quantum correspondence. Candidate phase operators conjugate to the\naction operator are discussed, but no satisfactory ones are found.",
"arxiv_id": "quant-ph/0101076",
"authors": [
"Sang Pyo Kim",
"Don N. Page"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.64.012104",
"journal_ref": "Phys.Rev.A64:012104,2001",
"title": "Classical and Quantum Action-Phase Variables for Time-Dependent Oscillators",
"url": "https://arxiv.org/abs/quant-ph/0101076"
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