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Normally-Ordered Time Evolution Operator for Mass-Varying Harmonic Oscillator and Wigner Function of Squeezed Number State

Normally-Ordered Time Evolution Operator for Mass-Varying Harmonic Oscillator and Wigner Function of Squeezed Number State
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摘要 For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integrationoperator in coherent state representation and then perform this integral by virtue of the technique of integration withinan ordered product of operators.The normally ordered time evolution operator is thus obtained.We then derive theWigner function of u(t)|n>,where |n> is a Fock state,which exhibits a generalized squeezing,the squeezing effect isrelated to the varying mass with time. For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integration operator in coherent state representation and then perform this integral by virtue of the technique of integration within an ordered product of operators. The normally ordered time evolution operator is thus obtained. We then derive the Wigner function of u(t)|n,〉, where |n〉 is a Fock state, which exhibits a generalized squeezing, the squeezing effect is related to the varying mass with time.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第7期67-72,共6页 理论物理通讯(英文版)
基金 Supported by National Natural Science Foundation of China under Grant No.10874174
关键词 广义压缩 谐振子 国家职能 有序 演变 时变 轨道 时间变化 harmonic oscillator, Wigner function, damping, mass-varying
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参考文献22

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