Institute of Fundamental Technological Research
Polish Academy of Sciences

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Ewa Gobcewicz

Recent publications

Rożko E.E., Gobcewicz E., Quantization of systems with internal degrees of freedom in two-dimensional manifolds, REPORTS ON MATHEMATICAL PHYSICS, ISSN: 0034-4877, DOI: 10.1016/S0034-4877(14)60048-3, Vol.73, No.3, pp.325-343, 2014

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 (Lobachevsky space). Also two-dimensional torus is briefly discussed as an interesting algebraic manifold.

Keywords:
quantization, infinitesimal rigid body, Lobachevsky space, the Schrödinger procedure

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