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arXiv · 2107.03627

Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity

A. D. Alhaidari
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Abstract

We use the tridiagonal representation approach to obtain an exact solution of the three-dimensional radial Schr\"odinger equation for a spiked oscillator with inverse quartic singularity and for all angular momenta. The solution is a finite series of square integrable functions written in terms of the Bessel polynomial.

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A. D. Alhaidari. 2021-07-08. Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity. https://doi.org/10.1142/s0217732322500456

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