Quantization and spectral geometry of a rigid body in a magnetic monopole field (Q5936472)

Geometric Quantization is applied to a rigid body with a fixed point in a homogeneous magnetic field. The configuration spaces are either SO(3) or the 2-sphere, depending on the shape of the system. The BKS geometric quantization scheme provides the quantum Hilbert space as a space of sections together with the Hamiltonian operator, which turns out to be the Laplacian plus a scalar curvature term. The author calculates the spectrum and solutions of the Hamiltonian explicitly.