摘要
在Wigner相空间中,相干态和压缩态可以表示成谐振子基态的正则变换.本文系统讨论了此种正则变换的群性质.其次,由相干态和压缩态的Wigner分布函数可以对量子光学的观测量作定量计算.并用Parallel-Axis定理计算了光子数及其方差.最后,把相空间的标度变换映射为Hilbert空间中的量子么正算符.此么正算符与通常的压编算符一致.
In Wigner-phase -space (WPS),the coherent states (CS) and squeezed states (SS)can be described by canonical trans- formations of the harmonic-oscillator's ground state. In this paper the group properties of these transformations are discussed in detail. Next, based on canonical transformation properties of the Wigner -function an algorithm is developed for calculating observed quantities in CS and SS. Finally, the linear canonical transformations in WPS are mapped to unitary quantum-me- chanical onerafors in Hilbert-space to produce usual squeezed operators.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1991年第5期52-60,共9页
Journal of Sichuan Normal University（Natural Science）
