Reduction in Stages and Complete Quantization of the MIC-Kepler Problem

The one-parameter deformation family of the standard Kepler problem known as the MIC-Kepler problem is completely quantized using the explicit momentum mapping of the torus actions on some toric manifolds and some equivariant cohomology theory. These manifolds appear as symplectic faces of the system. At any level of the reduction process the geometric quantization scheme produces all relevant quantum-mechanical numbers

?Institute of Biophysics, Bulgarian Academy of Sciences,

Abstract. The one-parameter deformation family of the standard Kepler problem known as the MIC-Kepler problem is completely quantized using the explicit momentum mapping of the torus actions on some toric manifolds and some equivariant cohomology theory. These manifolds appear as symplectic faces of the system. At any level of the reduction process the geometric quantization scheme produces all relevant quantum-mechanical numbers