Time dependent problems of the localized lattice vibration.
Time dependent problems of the localized lattice vibration.
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局域晶格振动的时间相关问题。
DOI：
10.1143/ptp.24.1349
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发表时间：
1960
影响因子：
--
通讯作者：
S. Takeno
中科院分区：
文献类型：
--
作者：
E. Teramoto;S. Takeno
研究了无限长的一维晶格中含有一个或两个杂质原子(同位素)的振动运动的含时问题。从这些系统的运动方程出发，导出了一维微扰晶格振动随TIMS变化的积分方程组。也就是说，这些积分方程组的渐近解代表了当杂质原子的质量小于基原子的质量时，杂质原子所保持的局域振动。通过微扰计算和拉普拉斯变换求解了积分方程组，考察了晶格振动的行为，特别是杂质原子对振动能量的俘获。(身份验证)
The time dependent problems of vibrational motion are investigated for the cases of an infinitely extended onedimensional lattice which contains one or two impurity atoms (isotopes). Starting from the equations of motion of these systems, integral equations are derived which show vanious tims dependent properties of the lattice vibration of these perturbed one-dimensional lattices. Namely, the asymptotic solutions of these integral equations represent the localized wibration which is preserved by the impurity atom when its mass is smailer than that of base atoms. The integral equations are actually solved by means of the perturbation calculation and also by the use of Laplace transforms, and the behaviors of the lattice vibration, especially the capture of ths vibrational energy by the impurity atoms, are examained. (auth)