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Wigner相空间中的相干态和压缩态
引用本文:金维睦. Wigner相空间中的相干态和压缩态[J]. 四川师范大学学报(自然科学版), 1991, 0(5)
作者姓名:金维睦
作者单位:四川师范大学物理系
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.

关 键 词:相干态  压缩态  Wigner相空间

THE COHERENT STATE AND SQUEEZED STATE IN WIGNER-PHASE-SPACE.
Jin Weimu. THE COHERENT STATE AND SQUEEZED STATE IN WIGNER-PHASE-SPACE.[J]. Journal of Sichuan Normal University(Natural Science), 1991, 0(5)
Authors:Jin Weimu
Affiliation:Department of Physics
Abstract: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.
Keywords:Wigner-phase space  coherent state  squeezed state.
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