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Three-dimensional harmonic oscillator and time evolution in quantum mechanics

Pavel Kundrat·Milos V. Lokajicek
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Abstract

The problem of defining time (or phase) operator for three-dimensional harmonic oscillator has been analyzed. A new formula for this operator has been derived. The results have been used to demonstrate a possibility of representing quantum-mechanical time evolution in the framework of an extended Hilbert space structure. Physical interpretation of the extended structure has been discussed shortly, too.

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Pavel Kundrat, Milos V. Lokajicek. 2002-11-06. Three-dimensional harmonic oscillator and time evolution in quantum mechanics. https://doi.org/10.1103/physreva.67.012104

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