Application of Non-Bijective Transformations to Various Potentials

1994/10/03 by M. Kibler, Kibler, M.
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Inorganic and Organometallic Chemistry #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9410002

8 pages, Tex, LYCEN 8766

arxiv created 1994/10/03 · openalex publication_date 1994/10/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 R³ and R⁵.

Related

• Transformations Generalizing the Levi-Civita, Kustaanheimo-Stiefel, and Fock Transformations
• On Hurwitz Transformations
• On quadratic and nonquadratic forms: Application to nonbijective R^2m -> R^2m-n transformations
• Superintegrability and Coulomb-Oscillator Duality
• Lie systems, Lie symmetries and reciprocal transformations