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arXiv · 2107.00232

Spectral manipulation of the trigonometric Rosen-Morse potential through supersymmetry

David J. Fernández C.·Rosa Reyes
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Abstract

The first and second-order supersymmetry transformations can be used to manipulate one or two energy levels of the initial spectrum when generating new exactly solvable Hamiltonians from a given initial potential. In this paper, we will construct the first and second-order supersymmetric partners of the trigonometric Rosen-Morse potential. Firstly, it is identified a set of solutions of the initial stationary Schrödinger equation which are appropriate for implementing in a simple way non-singular transformations, without inducing new singularities in the built potential. Then, the way the spectral manipulation works is illustrated through several specific examples.

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David J. Fernández C., Rosa Reyes. 2021-10-19. Spectral manipulation of the trigonometric Rosen-Morse potential through supersymmetry. https://arxiv.org/abs/2107.00232

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