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arxiv: hep-th/9312098 · v1 · submitted 1993-12-13 · ✦ hep-th

A coherent state associated with shape-invariant potentials

classification ✦ hep-th
keywords potentialsshape-invariantassociatedcoherentstatealgebraalgebraiccondition
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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.

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