4D singular oscillator and generalized MIC-Kepler system

Abstract

It is shown that the generalized MIC-Kepler system and four-dimensional singular oscillator are dual to each other and the duality transformation is the generalized version of the Kustaanheimo-Stiefel transformation.

6 pages

References in corpus (4)

• The generalized MIC-Kepler system
• Quantum oscillator and a bound system of two dyons
• Park--Tarter Matrix for a Dyon--Dyon System
• Spheroidal analysis of the generalized MIC-Kepler system

Cited by in corpus (9)

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• Generalized five-dimensional Kepler system, Yang-Coulomb monopole and Hurwitz transformation
• A new family of $N$ dimensional superintegrable double singular oscillators and quadratic algebra $Q(3)\oplus so(n)\oplus so(N-n)$
• Generalized Kaluza-Klein monopole, quadratic algebras and ladder operators
• Four-dimensional double singular oscillator
• On superintegrable monopole systems
• Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid