Non-Commutative Corrections to the MIC-Kepler Hamiltonian

Abstract

Non-commutative corrections to the MIC-Kepler System (i.e. hydrogen atom in the presence of a magnetic monopole) are computed in Cartesian and parabolic coordinates. Despite the fact that there is no simple analytic expression for non-commutative perturbative corrections to the MIC-Kepler spectrum, there is a term that gives rise to the linear Stark effect which didn't exist in the standard hydrogen model.

5 pages

Cited by in corpus (6)

• Noncommutative Coulombic Monopole
• MICZ Kepler Systems in Noncommutative Space and Duality of Force Laws
• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• Closedness of orbits in a space with SU(2) Poisson structure
• Central force problem in space with SU(2) Poisson structure
• Eigenvalue problem for radial potentials in space with SU(2) fuzziness