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A Coherent State Associated with Shape-Invariant Potentials

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Quantization and Infinite-Dimensional Systems

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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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Author information

Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01, Japan

    T. Fukui

  2. Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567, Japan

    N. Aizawa

Authors
  1. T. Fukui
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  2. N. Aizawa
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Editor information

Editors and Affiliations

  1. Catholic University of Louvain, Louvain-la-Neuve, Belgium

    J-P. Antoine

  2. Concordia University, Montréal, Québec, Canada

    S. Twareque Ali

  3. Warsaw University, Białystok, Poland

    W. Lisiecki  & A. Odzijewicz  & 

  4. Bulgarian Academy of Sciences, Sofia, Bulgaria

    I. M. Mladenov

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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

  • Print ISBN: 978-1-4613-6095-7

  • Online ISBN: 978-1-4615-2564-6

  • eBook Packages: Springer Book Archive

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