正则系综与微正则系综中的量子动力学。部件II。双势阱中的隧道效应
Quantum dynamics in canonical and micro-canonical ensembles. Part II. Tunneling in double well potential
摘要：
本文的第二部分在微正则系综中发展了一种新的数值方法，用于考虑量子动力学和计算量子统计力学的Wigner表示中的量子算符和时间关联函数的平均值。得到了表征能级结构的时间关联函数、量子算符平均值序列、隧穿粒子在势垒处的动量流和电子在势阱中的吸收谱的数值结果。所开发的量子动力学方法进行了测试的数值结果与分析估计的比较。时间关联函数、位置色散和动量色散行为的特殊性被认为是由瞬态跃迁和准定态效应引起的。也被认为是可能的经典波在随机介质中的传播理论的应用开发的方法。对于经典波，高斯光束在二维和三维波导中的传播得到了一些结果。
英文摘要：
In the second part of this paper in micro canonical ensemble the new numerical approach for consideration of quantum dynamics and calculations of the average values of quantum operators and time correlation functions in the Wigner representation of quantum statistical mechanics has been developed. The numerical results have been obtained for series of the average values of quantum operators as well as for the time correlation function characterizing the energy level structure, the momentum flow of tunneling particles at barrier crossing and the absorption spectra of electron in potential well. The developed quantum dynamics method was tested by comparison of numerical results with analytical estimations. Tunneling transitions and the effect of the quasi stationary state has been considered as the reason of the peculiarities in behaviour of the time correlation functions and position and momentum dispersions. Possibility of applying the developed approach to the theory of classical wave propagation in random media have been also considered. For classical waves some results have been obtained for Gaussian beam propagation in 2D and 3D waveguides.
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