English

When q=0, The Forced Harmonic Oscillator Isn't

High Energy Physics - Theory 2007-05-23 v1

Abstract

We consider the forced harmonic oscillator quantized according to infinite statistics ( a special case of the `quon' algebra proposed by Greenberg ). We show that in order for the statistics to be consistently evolved the forcing term must be identically zero for all time. Hence only the free harmonic oscillator may be quantized according to infinite statistics.

Keywords

Cite

@article{arxiv.hep-th/9401162,
  title  = {When q=0, The Forced Harmonic Oscillator Isn't},
  author = {J. W. Goodison and D. J. Toms},
  journal= {arXiv preprint arXiv:hep-th/9401162},
  year   = {2007}
}

Comments

10 pages (Revtex), Preprint NCL94-TP3

R2 v1 2026-07-22T15:48:52.630Z