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Application of non-bijective transformations to various potentials

  • III. Symmetries, Interactions and Quantization Methods
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  • First Online:
Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

Abstract

Some results about non-bijective quadratic transformations generalizing the Kustaanheimo-Stiefel and the Levi-Civita transformations are reviewed in §1. The three remaining sections are devoted to new results: §2 deals with the Lie algebras under constraints associated to some Hurwitz transformations; §3 and §4 are concerned with several applications of some Hurwitz transformations to wave equations for various potentials in R 3 and R 5.

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References

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Authors and Affiliations

  1. Institut de Physique Nucléaire (et IN2P3), Université Claude Bernard Lyon-1, 69622, Villeurbanne Cedex, France

    M. Kibler

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  1. M. Kibler
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Spinger-Verlag

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Kibler, M. (1988). Application of non-bijective transformations to various potentials. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012282

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  • DOI: https://doi.org/10.1007/BFb0012282

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

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