大学物理 ›› 2011, Vol. 30 ›› Issue (8): 22-22.
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夏小建
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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
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 harmonic oscillator.The amplitude and phase of the centre of the wave packet are modulated by the force.
Key words: one-dimensional forced oscillator, coherent state, quasi-probability distribution functions of phase space
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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): 22-22.
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