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一维受迫谐振子量子运动的经典特性
引用本文:夏小建. 一维受迫谐振子量子运动的经典特性[J]. 大学物理, 2011, 30(8): 22-24,29
作者姓名:夏小建
作者单位:泉州师范学院物理与信息工程学院,福建泉州,362000
摘    要:
对经典一维受迫谐振子量子化,求解量子化后体系的时间演化算符.应用相空间准概率分布函数,研究了体系的量子特性.研究结果表明,初始为真空态,经过时间演化,系统波函数是一个二维高斯波包;波包中心的振幅和相位受到作用力的调制,成为调幅、调相波,波包中心的运动与经典受迫谐振子的运动形式相同.

关 键 词:一维受迫谐振子  相干态  相空间的准概率分布函数

The classical characteristics of movement of one-dimensional quantum forced oscillator
XIA Xiao-jian. The classical characteristics of movement of one-dimensional quantum forced oscillator[J]. College Physics, 2011, 30(8): 22-24,29
Authors:XIA Xiao-jian
Affiliation:XIA Xiao-jian(School of Physics and Information Engineering,Quanzhou Normal College,Quanzhou,Fujian 362000,China)
Abstract:
The one-dimensional classical forced oscillator is quantized.The exact solution of time evolution operator of the system is obtained.The quasi-probability distribution function of phase space is used to investigate the quantum characteristics of one-dimensional forced oscillator.The results show that the Wigner function is two-dimensional Gaussian wave packet from the initial vacuum state.The central coordinate and momentum of the Gaussian wave packet move in the same manner as one-dimensional classical har...
Keywords:one-dimensional forced oscillator  coherent state  quasi-probability distribution functions of phase space  
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