Table of Contents
Physics Research International
Volume 2010 (2010), Article ID 103538, 4 pages
http://dx.doi.org/10.1155/2010/103538
Research Article

On the Canonical Transformation of Time-Dependent Harmonic Oscillator

1Department of Physics, University of Uyo, P.M.B 1017, Uyo, Nigeria
2Department of Physics, University of Calabar, P.M.B 1115, Calabar, Nigeria

Received 24 June 2009; Accepted 5 November 2009

Academic Editor: Nicholas Bigelow

Copyright © 2010 Akpan N. Ikot et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We performed a two-variable canonical transformation on the time momentum operator, and without loss of generality we carried out a three-variable transformation on the coordinate and momentum space operators to trivialize the Hamiltonian operator of the system. Fortunately, this operation separates the time-coordinate and space coordinate naturally, and the wave function of the time-dependent Harmonic Oscillator is evaluated via the generator.