Three-dimensional harmonic oscillator and time evolution in quantum mechanics
Quantum Physics
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0211026,
title = {Three-dimensional harmonic oscillator and time evolution in quantum mechanics},
author = {Pavel Kundrat and Milos V. Lokajicek},
journal= {arXiv preprint arXiv:quant-ph/0211026},
year = {2009}
}
Comments
14 pages; submitted to Phys Rev A