Application of Non-Bijective Transformations to Various Potentials

M. Kibler

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arXiv · hep-th/9410002

Application of Non-Bijective Transformations to Various Potentials

M. Kibler

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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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M. Kibler. 1994-10-03. Application of Non-Bijective Transformations to Various Potentials. https://arxiv.org/abs/hep-th/9410002

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