Algebraic nature of shape-invariant and self-similar potentials

doi:10.1088/0305-4470/32/15/007

Algebraic nature of shape-invariant and self-similar potentials

A B Balantekin et al 1999 J. Phys. A: Math. Gen. 32 2785-2790 doi: 10.1088/0305-4470/32/15/007

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A B Balantekin, M A Cândido Ribeiro and A N F Aleixo
Department of Physics, University of Wisconsin, Madison, WI 53706, USA

Abstract. Self-similar potentials generalize the concept of shape invariance which was originally introduced to explore exactly solvable potentials in quantum mechanics. In this paper it is shown that the 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.

Print publication: Issue 15 (16 April 1999)
Received 20 November 1998

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Algebraic nature of shape-invariant and self-similar potentials

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