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Classical Mechanics of Spinning Patricle in a Curved Space

1997/03/14 by Z. Ya. Turakulov, Turakulov, Z. Ya
Engineering · #Advanced Materials and Mechanics #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.dg-ga/9703008

openalex publication_date 1997/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An example of mechanical system whose configuration space is direct product of a curved space and the local group of rotations, is presented. The system is considered as a model of spinning particle moving in the space. The Hamiltonian formalism for this system and possible method for its quantization are discussed. It is shown that the Hamilton equations coincide with the Papapetrou equations for spinning test-particle in general relativity.

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