ALGEBRAIC DESCRIPTION OF SHAPE INVARIANCE REVISITED
DOI:
https://doi.org/10.14311/AP.2017.57.0446Keywords:
exactly solvable models, shape invariance, representation theoryAbstract
We revisit the algebraic description of shape invariance method in one-dimensional quantum mechanics. In this note we focus on four particular examples: the Kepler problem in flat space, the Kepler problem in spherical space, the Kepler problem in hyperbolic space, and the Rosen-Morse potential problem. Following the prescription given by Gangopadhyaya et al., we introduce new nonlinear algebraic systems and solve the bound-state problems by means of representation theory.Downloads
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