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Natanzon Potentials and Spectrum Generating Algebras

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Book cover Condensed Matter Theories

Part of the book series: Condensed Matter Theories ((COMT,volume 7))

Abstract

It is shown that the bound state problem posed by the Schrödinger equation can be solved by means of spectrum generating algebra techniques for all potentials for which it can be reduced either to a confluent hypergeometric form or to a general hypergeometric form. The connection with supersymmetric quantum mechanics is analysed in the case of the Morse potential.

Partially supported by grant FONDECYT 90–1240

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Author information

Authors and Affiliations

  1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas Universidad de Chile, Casilla 487, Santiago 3, Chile

    Patricio Cordero

  2. Departamento de Física, Universidad Simón Bolívar, Apartado Postal 89000, Caracas, Venezuela

    Sebastián Salamó

Authors
  1. Patricio Cordero
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  2. Sebastián Salamó
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Editor information

Editors and Affiliations

  1. University of Buenos Aires, Vicente López, Argentina

    Araceli Noemi Proto  & Jorge Luis Aliaga  & 

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© 1992 Springer Science+Business Media New York

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Cordero, P., Salamó, S. (1992). Natanzon Potentials and Spectrum Generating Algebras. In: Proto, A.N., Aliaga, J.L. (eds) Condensed Matter Theories. Condensed Matter Theories, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3352-8_5

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  • DOI: https://doi.org/10.1007/978-1-4615-3352-8_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6478-8

  • Online ISBN: 978-1-4615-3352-8

  • eBook Packages: Springer Book Archive

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