Abstract

We consider the radiation field operators in a cavity with varying dielectric medium in terms of solutions of Heisenberg's equations of motion for the most general one-dimensional quadratic Hamiltonian. Explicit solutions of these equations are obtained and applications to the radiation field quantization, including randomly varying media, are briefly discussed.

Original languageEnglish (US)
Pages (from-to)4445-4460
Number of pages16
JournalInternational Journal of Theoretical Physics
Volume52
Issue number12
DOIs
StatePublished - Dec 1 2013

Keywords

  • Berry's phase
  • Bogoliubov transformation
  • Dynamic invariants
  • Generalized harmonic oscillators
  • Heisenberg equations of motion
  • Minimum-uncertainty squeezed states
  • Quantization in randomly varying media
  • Radiation field operators
  • Time-dependent Schrödinger equation
  • Uncertainty relation

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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