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

preprint2021arXivOpen access

Abstract

We use the tridiagonal representation approach to obtain an exact solution of the three-dimensional radial Schrödinger 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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