A new look at the quantum mechanics of the harmonic oscillator

DOI10.1002/andp.200610245zbMath1156.81046arXivquant-ph/0612032OpenAlexW2151855686WikidataQ61150450 ScholiaQ61150450MaRDI QIDQ5310280

H. A. Kastrup

Publication date: 21 September 2007

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0612032

zbMATH Keywords

quantum mechanicsharmonic oscillatorquantum opticssqueezingangle and action variables

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Quantum optics (81V80) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10)

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Action-angle variables for dihedral systems on the circle, Remarks on the configuration space approach to spin-statistics

Cites Work

• The Weil representation, Maslov index and theta series
• Harmonic Analysis in Phase Space. (AM-122)
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