English

Evolution of Gaussian Wave Packet and Nonadiabatic Geometrical Phase for the time-dependent Singular Oscillator

Quantum Physics 2007-05-23 v1

Abstract

The geometrical phase of a time-dependent singular oscillator is obtained in the framework of Gaussian wave packet. It is shown by a simple geometrical approach that the geometrical phase is connected to the classical nonadiabatic Hannay angle of the generalized harmonic oscillator.

Keywords

Cite

@article{arxiv.quant-ph/0204132,
  title  = {Evolution of Gaussian Wave Packet and Nonadiabatic Geometrical Phase for the time-dependent Singular Oscillator},
  author = {Mustapha Maamache and Hacene Bekkar},
  journal= {arXiv preprint arXiv:quant-ph/0204132},
  year   = {2007}
}

Comments

11 pages, no figures. Submited to Phys. Rev. Lett