Abstract
The application of the coherent state method combined with the method of orbits to the Feynman path integral formulation of quantum problems with a dynamical symmetry group is presented and used for the quantization of relativistic spinning particles and strings. The action of a spinning string considered as a quantization of the Kac-Moody group based on the Poincaré group is expressed in terms of the extrinsic geometry of the embedding of the surface into the flat space-time. The geometrical quantization and Feynman path integral formulation of some models known in condensed matter physics is also presented.
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