一维谐振子量子运动中的经典特性

利用量子力学的态叠加原理和算符劈裂法,对处于一维谐振子势中的初始态为高斯波包的中心位置的量子运动进行了研究.结果表明:其中心位置的量子运动呈现出经典谐振子的运动特性;波包的初始位置和初始时刻所加动量对波包中心位置量子动力学的影响与经典谐振子类似条件对运动的影响有相同的性质.本结果对理解复杂量子运动中的高斯波方法有一定的启示作用.

The classical characteristics of the movement of one-dimensional quantum harmonic oscillator

With the help of principle of superposition in quantum mechanics and the operator splitting method,we study the movement of the center position of the initial Gaussian wave packet in one-dimensional harmonic oscillator potential.The results show that its quantum evolution performs characteristics of a classical harmonic oscillator;the initial location and the initial momentum of the wave packet play a similar role as the classical oscillator.Our results should be helpful to understand the Gaussian wave pack...