On The Harmonic Oscillator Group
Mathematical Physics
2011-12-06 v2 math.MP
Abstract
We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable oscillator wave functions, which seems cannot be obtained by the standard separation of variables, is presented as an example. The invariance group of generalized driven harmonic oscillator is shown to be isomorphic to the corresponding Schroedinger group of the free particle.
Cite
@article{arxiv.1111.5569,
title = {On The Harmonic Oscillator Group},
author = {Raquel M. Lopez and Sergei K. Suslov and Jose M. Vega-Guzman},
journal= {arXiv preprint arXiv:1111.5569},
year = {2011}
}
Comments
11 pages, no figures