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Quantization of systems with internal degrees of freedom in two-dimensional manifolds

Mathematical Physics 2015-06-18 v1 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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Cite

@article{arxiv.1402.5815,
  title  = {Quantization of systems with internal degrees of freedom in two-dimensional manifolds},
  author = {Ewa Eliza Rożko and Ewa Gobcewicz},
  journal= {arXiv preprint arXiv:1402.5815},
  year   = {2015}
}

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19 pages