Shape-invariant potentials and an associated coherent state

T. Fukui; N. Aizawa

doi:10.1016/0375-9601(93)91182-5

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arXiv · hep-th/9309153

Shape-invariant potentials and an associated coherent state

T. Fukui·N. Aizawa

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Abstract

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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T. Fukui, N. Aizawa. 1993-09-27. Shape-invariant potentials and an associated coherent state. https://doi.org/10.1016/0375-9601(93)91182-5

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