2024/11/12 by L. G. Mardoyan, Mardoyan, Levon G.
Engineering · Physics and Astronomy · #Advanced Frequency and Time Standards #FOS: Physical sciences #Mathematical Physics (math-ph) #Particle accelerators and beam dynamics #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2411.07733
openalex publication_date 2024/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This review is devoted to the problem of Coulomb (dyon)-oscillator duality in non-relativistic quantum mechanics, which is based on the so-called non-bijective quadratic transformations, i.e. Levi-Civita transformation, Kustaanheimo--Stiefel (KS-transformation) and Hurwitz transformation.