Linking ladder operators for the Rosen-Morse and Pöschl-Teller systems
Simon Garneau-Desroches, Véronique Hussin
SciPost Phys. Proc. 14, 026 (2023) · published 24 November 2023
- doi: 10.21468/SciPostPhysProc.14.026
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Proceedings event
34th International Colloquium on Group Theoretical Methods in Physics
Abstract
An analysis of the realizations of the ladder operators for the Rosen-Morse and Pöschl-Teller quantum systems is carried out. The failure of the algebraic method of construction in the general Rosen-Morse case is exposed and explained. We present the reduction of a recently obtained set of $(2n ± 1)$-th-order Rosen-Morse ladder operators to the usual first-order realization for the Pöschl-Teller case known in the literature.
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Simon Garneau-Desroches,
- 1 Véronique Hussin
Funder for the research work leading to this publication