English

Squeezed Coherent States and a Semiclassical Propagator for the Schroedinger equation in Phase

Quantum Physics 2007-05-23 v1

Abstract

We construct semiclassical solutions of the symplectically covariant Schroedinger phase-space equation rigorously studied in a previous paper; we use for this purpose an adaptation of Littlejohn's nearby-orbit method. We take the opportunity to discuss in some detail the so fruitful notion of squeezed coherent state and the action of the metaplectic group on these states.

Keywords

Cite

@article{arxiv.quant-ph/0605060,
  title  = {Squeezed Coherent States and a Semiclassical Propagator for the Schroedinger equation in Phase},
  author = {Maurice de Gosson and Serge de Gosson},
  journal= {arXiv preprint arXiv:quant-ph/0605060},
  year   = {2007}
}