Dynamical algebra of quasi-exactly-solvable potentials
- 1 October 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (7) , 4721-4724
- https://doi.org/10.1103/physreva.44.4721
Abstract
We show that by using second-order differential operators as a realization of the so(2,1) Lie algebra, we can extend the class of quasi-exactly-solvable potentials with dynamical symmetries. As an example, we dynamically generate a potential of tenth power, which has been treated in the literature using other approaches, and discuss its relation with other potentials of lowest orders. The question of solvability is also studied.Keywords
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