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首页> 外文会议>International Conference on Numerical Analysis and Applied Mathematics >A Fluctuation Analysis at the Classical Limit for theExpectation Dynamics of a Single Quartic QuantumAnharmonic Oscillator
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A Fluctuation Analysis at the Classical Limit for theExpectation Dynamics of a Single Quartic QuantumAnharmonic Oscillator

机译：单个Quantumanharmonic振荡器的视图动态的经典极限的波动分析

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The definition of the fluctuation terms in the matrix representations of operators, especially function operators, brings a lot of facilitations to the numerical analysis of matrix representation issues. This work considers a one—dimensional quantum oscillator with purely quartic anharmonicity and focuses on its position and momentum expectations. By using certain level commutator operation it is possible to get two ODEs as equations of motion, which are in classical nature when the fluctuation terms are omitted. To understand how fluctuation terms affect expectation dynamical analysis we add extra temporal unknowns and construct extra ODEs over them. There seem to be an infinite ODEs chain for fluctuation altough their truncations seem to be utilizable as approximations. Here basic theory is summarized. Further details will be prasented at the conference presentation.
机译：运算符，尤其是函数运算符的矩阵表示中的波动项的定义为矩阵表示问题的数值分析带来了很多便利。这项工作考虑了一维量子振荡器，具有纯粹的四谐波，并专注于其位置和动量期望。通过使用某些级别的换向器操作，可以获得两个杂散作为运动方程，当省略波动项时，这是经典性质。要了解波动术语如何影响期望动态分析，我们添加了额外的时间未知数，并构建它们的额外杂散。似乎有一个无限的杂散链，因为波动的波动，它们的截断似乎可以使用近似值。这里总结了基础理论。进一步的详细信息将在会议介绍中追踪。

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