Spectral manipulation of the trigonometric Rosen-Morse potential through supersymmetry

• URL: http://arxiv.org/abs/2107.00232v2
• Date: Tue, 19 Oct 2021 13:09:47 GMT
• Title: Spectral manipulation of the trigonometric Rosen-Morse potential through supersymmetry
• Authors: David J. Fern\'andez C., Rosa Reyes
• Abstract summary: We will construct the first and second-order supersymmetric partners of the trigonometric Rosen-Morse potential. The way the spectral manipulation works is illustrated through several specific examples.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 Schr\"odinger 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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