论文标题

旋转的谐波振荡器重新审视

The rotating harmonic oscillator revisited

论文作者

Fernández, Francisco M.

论文摘要

我们通过Frobenius方法分析了量子机械旋转谐波振荡器的特征值的分布。合适的ANSATZ导致膨胀系数的三届复发关系。该系列的截断以精确的分析形式产生了一些特定的特征值和特征功能。可以组织前者的组织,以使人们获得有关模型整体范围的适当信息。

We analyze the distribution of the eigenvalues of the quantum-mechanical rotating harmonic oscillator by means of the Frobenius method. A suitable ansatz leads to a three-term recurrence relation for the expansion coefficients. Truncation of the series yields some particular eigenvalues and eigenfunctions in exact analytical form. The former can be organized in such a way that one obtains suitable information about the whole spectrum of the model.

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