Existence of Time Operator for a Singular Harmonic Oscillator
Quantum Physics
2007-05-23 v1
Abstract
The time operator for a quantum singular oscillator of the Calogero-Sutherland type is constructed in terms of the generators of the SU(1,1) group. In the space spanned by the eigenstates of the Hamiltonian, the time operator is not self-adjoint. We show, that the time-energy uncertainty relation can be given the meaning within the Barut-Girardello coherent states defined for the singular oscillator.We have also shown the relationship with the time-of-arrival operator of Aharonov and Bohm.
Cite
@article{arxiv.quant-ph/0503187,
title = {Existence of Time Operator for a Singular Harmonic Oscillator},
author = {V. Mikuta-Martinis and M. Martinis},
journal= {arXiv preprint arXiv:quant-ph/0503187},
year = {2007}
}
Comments
7 pages, no figures, LaTex, submitted to Concepts of Physics