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Quantization of systems with internal degrees of freedom in two-dimensional manifolds (1402.5815v1)

Published 24 Feb 2014 in math-ph and math.MP

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.

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