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首页> 外文期刊>Journal of Quantum Information Science >Circular Scale of Time Applied in Classifying the Quantum-Mechanical Energy Terms Entering the Framework of the Schr?dinger Perturbation Theory
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Circular Scale of Time Applied in Classifying the Quantum-Mechanical Energy Terms Entering the Framework of the Schr?dinger Perturbation Theory

机译：圆形时间尺度在量子力学能量项分类中的应用，进入了薛定er摄动理论的框架

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The paper applies a one-to-one correspondence which exists between individual Schr?dinger perturbation terms and the diagrams obtained on a circular scale of time to whole sets of the Schr?dinger terms belonging to a definite perturbation order. In effect the diagram properties allowed us to derive the recurrence formulae giving the number of higher perturbative terms from the number of lower order terms. This recurrence formalism is based on a complementary property that any perturbation order N can be composed of two positive integer components Na , Nb combined into N in all possible ways. Another result concerns the degeneracy of the perturbative terms. This degeneracy is shown to be only twofold and the terms having it are easily detectable on the basis of a circular scale. An analysis of this type demonstrates that the degeneracy of the perturbative terms does not exist for very low perturbative orders. But when the perturbative order exceeds five, the number of degenerate terms predominates heavily over that of nondegenerate terms.
机译：本文将单个薛定r扰动项与在一定时间周期内获得的图之间存在的一一对应关系应用于属于确定摄动阶的整套薛定ding项。实际上，图的属性使我们能够从较低阶项的数量中得出给出较高扰动项数量的递归公式。此递归形式主义基于互补性质，即任何扰动阶数N可以由以所有可能方式组合为N的两个正整数分量Na，Nb组成。另一个结果涉及扰动项的退化。该简并性仅显示出两倍，并且具有简并性的术语可以基于圆形标度容易地检测到。对这种类型的分析表明，对于非常低的扰动阶数，不存在扰动项的简并性。但是，当扰动阶数超过5时，简并项的数量比非简并项的数量大得多。

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