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首页> 外文会议>Advances in Computational Methods in Sciences and Engineering 2005 vol.4A; Lecture Series on Computer and Computational Sciences; vol.4A >Determination of Quantum Expectation Values Via Fluctuation Expansion
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Determination of Quantum Expectation Values Via Fluctuation Expansion

机译：通过涨落量确定量子期望值

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摘要

The goal of this work is, the utilization of a method recently developed by the author, in quantum dynamical problems. Main idea is based on the relation between quantum and classical dynamics such that quantum dynamical problems become their classical dynamical counterparts when they are formulated via expectation values of certain operators and the probability density tends to be sharply localized. Expectation values can be expanded into a series in ascending appearence multiplicity of the complement of the projection operator which projects the space spanned by the wave function. This expansion contains fluctuation terms as unknowns besides the expectation values. We construct an infinite set of differential equations. The finite truncations of this set enables us to approximate the quantum dynamics of the system under consideration.
机译：这项工作的目的是利用作者最近开发的方法解决量子动力学问题。主要思想是基于量子动力学和经典动力学之间的关系，从而使得当通过某些算子的期望值制定量子动力学问题时，它们成为经典动力学的对应物，并且概率密度倾向于急剧地局部化。期望值可以按投影算子的补数的出现次数的递增顺序扩展为一系列，该算术子可以投影波动函数所跨越的空间。除了期望值之外，该展开还包含作为未知项的波动项。我们构造了无穷微分方程组。该集合的有限截断使我们能够近似考虑所考虑系统的量子动力学。

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