A coherent state associated with shape-invariant potentials

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An algebraic treatment of shape-invariant potentials is discussed. By introducing an operator which reparametrizes wavefunctions, the shape-invariance condition can be related to a generalized Heisenberg- Weyl algebra. It is shown that this makes it possible to define a coherent state associated with the shape-invariant potentials.
(Talk given at the XIIth workshop on geometric methods in physics) 8 pages, latex, preprint YITP/K-1041, RCNP-065

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