Application of Non-Bijective Transformations to Various Potentials

摘要

Some results about non-bijective quadratic transformations generalizing the Kustaanheimo-Stiefel and the Levi-Civita transformations are reviewed. The three remaining sections are devoted to new results: the first deals with the Lie algebras under constraints associated to some Hurwitz transformations; the second and third are concerned with several applications of some Hurwitz transformations to wave equations for various potentials in R/sup 3/ and R/sup 5/. (ERA citation 13:055585)