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

• URL: http://arxiv.org/abs/2109.05069v1
• Date: Fri, 10 Sep 2021 18:59:42 GMT
• Title: Bound-state solutions of the Schr\"odinger equation for two novel potentials
• Authors: A. D. Alhaidari and I. A. Assi
• Abstract summary: We solve the one-dimensional Schr"odinger equation for the bound states of two potential models with a rich structure. The solutions are written in terms of the Jacobis.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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