Application of Non-Bijective Transformations to Various Potentials
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.