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Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang
We construct the integrals of motion for the 5D deformed Kepler system with non-central potentials in Yang-Coulomb monopole field. We show that these integrals form a highe…
Recurrence approach and higher rank polynomial algebras for superintegrable monopole systems
Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang
We revisit the MIC-harmonic oscillator in flat space with monopole interaction and derive the polynomial algebra satisfied by the integrals of motion and its energy spectrum using…
Quadratic algebra for superintegrable monopole system in a Taub-NUT space
Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang
We introduce a Hartmann system in the generalized Taub-NUT space with Abelian monopole interaction. This quantum system includes well known Kaluza-Klein monopole and MIC-Zwanziger…