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arXiv · 2109.05069

Bound-state solutions of the Schr\"odinger equation for two novel potentials

A. D. Alhaidari·I. A. Assi
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Abstract

We solve the one-dimensional Schr\"odinger equation for the bound states of two potential models with a rich structure as shown by their "spectral phase diagram". These potentials do not belong to the well-known class of exactly solvable problems. The solutions are finite series of square integrable functions written in terms of the Jacobi polynomials.

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A. D. Alhaidari, I. A. Assi. 2021-09-10. Bound-state solutions of the Schr\"odinger equation for two novel potentials. https://doi.org/10.3390/physics4030070

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