English

The Schrodinger particle in an oscillating spherical cavity

Quantum Physics 2009-10-31 v2

Abstract

We study a Schrodinger particle in an infinite spherical well with an oscillating wall. Parametric resonances emerge when the oscillation frequency is equal to the energy difference between two eigenstates of the static cavity. Whereas an analytic calculation based on a two-level system approximation reproduces the numerical results at low driving amplitudes, epsilon, we observe a drastic change of behaviour when epsilon > 0.1, when new resonance states appear bearing no apparent relation to the eigenstates of the static system.

Keywords

Cite

@article{arxiv.quant-ph/9903052,
  title  = {The Schrodinger particle in an oscillating spherical cavity},
  author = {K. Colanero and M. -C. Chu},
  journal= {arXiv preprint arXiv:quant-ph/9903052},
  year   = {2009}
}

Comments

9 pages, 6 figures, corrected typos

R2 v1 2026-07-22T20:05:45.044Z