The su(1,1) Dynamical Algebra for the Generalized MICZ-Kepler Problem from the Schrödinger Factorization

Abstract

We apply the Schrödinger factorization to construct the generators of the dynamical algebra $su(1,1)$ for the radial equation of the generalized MICZ-Kepler problem.

11 pages

References in corpus (6)

• Supersymmetry and Quantum Mechanics
• Relation of the oscillator and Coulomb systems on spheres and pseudospheres
• The MICZ-Kepler Problems in All Dimensions
• The generalized MIC-Kepler system
• Supersymmetric quantum mechanical generalized MIC-Kepler system
• SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems

Cited by in corpus (7)

• Generalized MICZ-Kepler system, duality, polynomial and deformed oscillator algebras
• Classical ladder operators, polynomial Poisson algebras and classification of superintegrable systems
• 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
• The number radial coherent states for the generalized MICZ-Kepler problem
• Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction