English

A time frequency analysis of wave packet fractional revivals

Quantum Physics 2009-04-03 v1

Abstract

We show that the time frequency analysis of the autocorrelation function is, in many ways, a more appropriate tool to resolve fractional revivals of a wave packet than the usual time domain analysis. This advantage is crucial in reconstructing the initial state of the wave packet when its coherent structure is short-lived and decays before it is fully revived. Our calculations are based on the model example of fractional revivals in a Rydberg wave packet of circular states. We end by providing an analytical investigation which fully agrees with our numerical observations on the utility of time-frequency analysis in the study of wave packet fractional revivals.

Keywords

Cite

@article{arxiv.0706.1576,
  title  = {A time frequency analysis of wave packet fractional revivals},
  author = {Suranjana Ghosh and J. Banerji},
  journal= {arXiv preprint arXiv:0706.1576},
  year   = {2009}
}
R2 v1 2026-06-21T08:37:22.487Z