Abstract
An algebraic treatment of shape-invariant potentials is discussed. By introducing an operator which reparametrizes wave functions, 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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© 1994 Springer Science+Business Media New York
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Fukui, T., Aizawa, N. (1994). A Coherent State Associated with Shape-Invariant Potentials. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization and Infinite-Dimensional Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2564-6_20
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DOI: https://doi.org/10.1007/978-1-4615-2564-6_20
Publisher Name: Springer, Boston, MA
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