ALGEBRAIC DESCRIPTION OF SHAPE INVARIANCE REVISITED

Autor: Satoshi Ohya
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Acta Polytechnica, Vol 57, Iss 6, Pp 446-453 (2017)
Druh dokumentu: article
ISSN: 1210-2709
1805-2363
DOI: 10.14311/AP.2017.57.0446
Popis: 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.
Databáze: Directory of Open Access Journals