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Even and Odd Coherent States for Time-Dependent Harmonic Oscillator |
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| Authors: | Wei Lian-fu YANG Qing-Yi WANG Shun-Jin |
| Institution: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China Department of Physics, Guangxi University, Nanning 530003, China Institute of Physics, Southwest Jiao Tong University, Chengdu 610031, China;Department of Modern Physics, Lanzhou University, Lanzhou 730000, China |
| Abstract: | 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. |
| Keywords: | even and odd coherent states time-dependent harmonic oscillator dynamical invariant |
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