Algebraic Nature of Shape-Invariant and Self-Similar Potentials

Details Algebraic Nature of Shape-Invariant and Self-Similar Potentials Algebraic Nature of Shape-Invariant and Self-Similar Potentials

1998-11-23

arxiv.org/abs/quant-ph/9811061v1

J.Phys.A32:2785-2790,1999

Physics

Quantum Physics

8 pages

Scientific paper

10.1088/0305-4470/32/15/007

Self-similar potentials generalize the concept of shape-invariance which was originally introduced to explore exactly-solvable potentials in quantum mechanics. In this article it is shown that previously introduced algebraic approach to the latter can be generalized to the former. The infinite Lie algebras introduced in this context are shown to be closely related to the q-algebras. The associated coherent states are investigated.

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