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International Colloquium on Group Theoretical Methods in Physics 16, Varna : Bulgarie
Application of non-bijective transformations to various potentials
M. Kibler1

Some results about non-bijective quadratic transformations generalizing the Kustaanheimo-Stiefel and the Levi-Civita transformations are reviewed in \S 1. The three remaining sections are devoted to new results: \S 2 deals with the Lie algebras under constraints associated to some Hurwitz transformations; \S 3 and \S 4 are concerned with several applications of some Hurwitz transformations to wave equations for various potentials in $R^3$ and $R^5$.
1 :  IPNL - Institut de Physique Nucléaire de Lyon
Physique/Physique des Hautes Energies - Théorie
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