Shape-invariant potentials and an associated coherent state

Details Shape-invariant potentials and an associated coherent state Shape-invariant potentials and an associated coherent state

1993-09-27

arxiv.org/abs/hep-th/9309153v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages + 1 figure (not included),Plain Tex YITP/K-1019, RCNP-055

Scientific paper

10.1016/0375-9601(93)91182-5

An algebraic treatment of shape-invariant potentials in supersymmetric quantum mechanics is discussed. By introducing an operator which reparametrizes wave functions, the shape-invariance condition can be related to a oscillator-like algebra. It makes possible to define a coherent state associated with the shape-invariant potentials. For a large class of such potentials, it is shown that the introduced coherent state has the property of resolution of unity.

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