Quasi-coherent states for the Hermite oscillator

Unal N.

JOURNAL OF MATHEMATICAL PHYSICS, vol.59, no.6, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 6
  • Publication Date: 2018
  • Doi Number: 10.1063/1.5016897
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz University Affiliated: Yes

Abstract

In this study, we obtained the quasi-coherent states of the damped harmonic oscillator which satisfy the Hermite differential equation classically. For the general damped oscillator, the Gaussian wave packets were derived in configuration and momentum spaces with minimum uncertainities at t = 0, and the quasi-stationary states also obtained and showed that the expansion coefficients give a time-dependent Poisson distribution. As a special case, we found the displaced Gaussian wave packets for the Hermite oscillator and also discussed the weak coupling limit of the wave packets. Published by AIP Publishing.