Phys. Rev. A 67, 012104 (2003) [5 pages]Three-dimensional harmonic oscillator and time evolution in quantum mechanicsReceived 24 September 2002; published 13 January 2003 The problem of defining a time (or phase) operator for a three-dimensional harmonic oscillator has been analyzed. A 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. The physical interpretation of the extended structure has been discussed briefly, too. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.012104
DOI:
10.1103/PhysRevA.67.012104
PACS:
03.65.Ta, 03.65.Ca
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