Quantization of systems with internal degrees of freedom in two-dimensional manifolds
arXiv:1402.5815 · doi:10.1016/S0034-4877(14)60048-3
Abstract
Presented is a primary step towards quantization of infinitesimal rigid body moving in a two-dimensional manifold. The special stress is laid on spaces of constant curvature like the two-dimensional sphere and pseudosphere (Lobatschevski space). Also two-dimensional torus is briefly discussed as an interesting algebraic manifold.
19 pages