| 哈密顿算符是SU(1,1)和SU(2)算子含时线性组合量子系统的时间演变及厄密不变量 |
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| 引用本文： | 赖云忠,梁九卿.哈密顿算符是SU(1,1)和SU(2)算子含时线性组合量子系统的时间演变及厄密不变量[J].物理学报,1996,45(5):738-746. |
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| 作者姓名： | 赖云忠 梁九卿 |
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| 作者单位： | 太原重型机械学院基础部,太原030024;山西大学物理系,太原030006 |
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| 摘 要： | 研究了哈密顿算符是SU(1,1)和SU(2)算子线性组合且系数显含时间量子系统的时间演化,我们发现适当选取厄密不变量,不仅可得到统一的量子态时间演化封闭解,而且可得到时间演化幺正算符。用时间演化算符我们讨论了含时双光子压缩态和SU(1,1)相干态以及SU(2)压缩态的压缩性质。
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TIME EVOLUTION OF A QUANTUM SYSTEM WITH HAMILTONIAN CONSISTING OF TIME-DEPENDENT LINEAR COMBINATION OF SU(l, 1)AND SU(2) GENERATORS AND THE HERMITIAN INVARIANT OPERATOR |
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| LAI YUN-ZHONG and LIANG JIU-QING.TIME EVOLUTION OF A QUANTUM SYSTEM WITH HAMILTONIAN CONSISTING OF TIME-DEPENDENT LINEAR COMBINATION OF SU(l, 1)AND SU(2) GENERATORS AND THE HERMITIAN INVARIANT OPERATOR[J].Acta Physica Sinica,1996,45(5):738-746. |
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| Authors: | LAI YUN-ZHONG and LIANG JIU-QING |
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| Abstract: | We study the time evolution of a quantum system with Hamiltonian consisting of time-dependent linear combination of SU(1,1) and SU(2) generators. A proper hermitian invariant operator has been found to obtain not only closed formulas for the time evolution of quantum states but also the time evolution operators for both the SU(1, 1) and SU(2) systems. The time evolution operators have been used to investigate the time-dependent two photons and SU(2) squeezing states and squeezing properties of the time-dependent SU(1,1) coherent states. |
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