Three-dimensional harmonic oscillator and time evolution in quantum mechanics
arXiv:quant-ph/0211026 · doi:10.1103/PhysRevA.67.012104
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.
14 pages; submitted to Phys Rev A