论文标题

半分化的谐波振荡器模型的Husimi功能,其依赖位置有效质量

The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass

论文作者

Jafarov, E. I., Jafarova, A. M., Nagiyev, S. M.

论文摘要

构建了具有位置依赖性有效质量的半分化谐波振荡器模型的相空间表示。我们已经发现,对于没有使用的外部均匀磁场的情况,考虑到正在考虑的振荡器模型的固定状态的HUSIMI分布函数。获得的函数通过抛物线缸函数的双重总和表示。也讨论了不同的特殊情况和极限关系。

The phase space representation for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. We have found the Husimi distribution function for the stationary states of the oscillator model under consideration for both cases without and with the applied external homogeneous field. The obtained function is expressed through the double sum of the parabolic cylinder function. Different special cases and the limit relations are discussed, too.

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