摘要
借助于正则变换方法分析了质量与频率依赖于时间的量子简谐振子。系统的变化的质量和频率化成了不变的质量和频率，导出了相应的本征值和本征矢量。构筑了简谐振子的依赖于时间的相干态，并证明了这种相干态等价于压缩态。此外，具有各种摩擦的阻尼简谐振子和依赖于时间的受迫振子也进行了讨论。
The quantum harmonic oscillator with time-dependent mass and frequency is analyzedby using the canonical transformation method. The varying mass and frequency of thesystem are reduced to constant mass and frequency, and the corresponding eigen values andeigenvectors are derived. The exact time-dependent coherent state of the harmonicoscillator is constracted and shown to be equivalent to the squeezed state, Damped harmonicoscillator with different frictions and forced time-dependent harmonic oscillators are alsodiscussed.
出处
《量子光学学报》
CSCD
1996年第2期71-82,共12页
Journal of Quantum Optics
关键词
量子谐振子
相干态
量子光学
quantum, harmonic oscillator, coherent state
