English

Three manifestations of the pulsed harmonic potential

Quantum Physics 2008-11-26 v1 Statistical Mechanics

Abstract

We consider, in turn, three systems being acted upon by a regularly pulsed harmonic potential (PHP). These are i) a classical particle, ii) a quantum particle, and iii) a directed line. We contrast the mechanics of the first two systems by parameterizing their bands of stability and periodicity. Interesting differences due to quantum fluctuations are examined in detail. The fluctuations of the directed line are calculated in the two cases of a binding PHP, and an unbinding PHP. In the latter case there is a finite maximum line length for a given potential strength.

Keywords

Cite

@article{arxiv.quant-ph/9809014,
  title  = {Three manifestations of the pulsed harmonic potential},
  author = {T. J. Newman and R. K. P. Zia},
  journal= {arXiv preprint arXiv:quant-ph/9809014},
  year   = {2008}
}

Comments

34 Revtex pages, with 5 attached figures

R2 v1 2026-07-22T20:04:38.561Z