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谐振子与薛定谔相干态及不确定度
引用本文:李兴华,杨亚天,陈志高.谐振子与薛定谔相干态及不确定度[J].福建师范大学学报(自然科学版),2000,16(2):35-38.
作者姓名:李兴华  杨亚天  陈志高
作者单位:福建师范大学物理系,福建,福州,350007
基金项目:国家自然科学基金!( 193 75 0 12 ),福建省教委资助项目!(WD15)
摘    要:薛定谔相干态被定义为其坐标与动量平均值的演化与经典解相同的量子态。证明谐振子的任何状态都是薛定谔相干态。并计算了它们的不确定度,指出最小不确定度的态正是Glauber相干态,同时证明了对非谐振子一般不存在薛定谔相干态。

关 键 词:薛定谔相干态  谐振子  不确定度  哈密顿量  量子态

Harmonic Oscillator, Schr(o)dinger Coherent State and Uncertainty
LI Xing-hua,YANG Ya-tian,CHEN Zhi-gao.Harmonic Oscillator, Schr(o)dinger Coherent State and Uncertainty[J].Journal of Fujian Teachers University(Natural Science),2000,16(2):35-38.
Authors:LI Xing-hua  YANG Ya-tian  CHEN Zhi-gao
Abstract:Schrdinger coherent states(SCS) is defined as those states of quantum system in which the expectation values of coordinates and momentum are same as the results of the solutions of the classical counterpart. It is shown any states of harmonic oscillator are SCS. The uncertainty of such states is evaluated. It is proved the minimum uncertainty state is just the Glauber coherent state. In general, SCS do not exist in anharmonic oscillator systems.
Keywords:Schrdinger  coherent state  harmonic oscillator  uncertainty  
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