Quasi-coherent states for a photon in time varying dielectric media

Unal N.

ANNALS OF PHYSICS, vol.327, no.9, pp.2177-2183, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 327 Issue: 9
  • Publication Date: 2012
  • Doi Number: 10.1016/j.aop.2012.05.005
  • Journal Name: ANNALS OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2177-2183
  • Keywords: Coherent state, Time dependent oscillator, Uncertainty, Quantum fluctuation for photon, Time varying dielectric, ELECTROMAGNETIC-FIELD QUANTIZATION, HARMONIC-OSCILLATOR, WAVE-FUNCTIONS, MOTION
  • Akdeniz University Affiliated: No

Abstract

In this study, we derive the quasi-coherent states for a photon in a medium with time varying dielectric permittivity epsilon(0)e(eta t). We introduce a new kind of holomorphic coordinates and solve the Schrodinger equation for a harmonic oscillator with the time dependent parameters by reducing it to the Riccati equation for which the nonstationary solution gives the squeezed states of a photon with non-minimum uncertainties. We also derive the quasi-coherent states and discrete, nonstationary quantum states in the configuration space of a photon. (c) 2012 Elsevier Inc. All rights reserved.