Abstract

A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given. New coherent states of the harmonic oscillator related to the Fourier transformation are constructed.

中文翻译：

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量子力学和相干态中的自相似势

摘要

简要描述了量子力学中的因式分解方法，自相似势，可积系统和特殊函数理论之间的关系。构造了与傅立叶变换有关的谐波振荡器的新相干态。