ALGEBRAIC DESCRIPTION OF SHAPE INVARIANCE REVISITED

Satoshi Ohya
2017 Acta Polytechnica  
<span>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.</span>
doi:10.14311/ap.2017.57.0446 fatcat:t7gwxv4bincjpk3jaxjtxwxlsu