Even and Odd Coherent States for Time-Dependent Harmonic Oscillator

The dynamical invariant for a general time-dependent harmonic oscillator is constructed by making use of two linearly independent solutions to the classical equation of motion. In terms of this dynamical invariant we define the time-dependent creation and annihilation operators and relevantly introd...

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Bibliographic Details
Published in:Communications in theoretical physics 2002, Vol.38 (7), p.25-30
Main Author: WEI Lian-Fu YANG Qing-Yi WANG Shun-Jin
Format: Article
Language:English
Subjects:
and
coherent
dynamical
even
harmonic
invariant
odd
oscillator
states
time-dependent
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Summary:The dynamical invariant for a general time-dependent harmonic oscillator is constructed by making use of two linearly independent solutions to the classical equation of motion. In terms of this dynamical invariant we define the time-dependent creation and annihilation operators and relevantly introduce even and odd coherent states for time dependent harmonic oscillator. The mathematical and quantum statistical properties of these states are discussed in detail. The harmonic oscillator with periodically varying frequency is treated as a demonstration of our general approach.
ISSN:0253-6102