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Plane rotations and Hamilton—Dirac mechanics

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Czechoslovak Journal of Physics Aims and scope

Abstract

Canonical formalism for SO(2) is developed. This group can be seen as a toy model of the Hamilton-Dirac mechanics with constraints. The Lagrangian and Hamiltonian are explicitly constructed and their physical interpretations are given. The Euler-Lagrange and Hamiltonian canonical equations coincide with the Lie equations. It is shown that the constraints satisfy CCR. Consistency of the constraints is checked.

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References

  1. V. Chari and A. Pressley: A Guide to Quantum Groups. Cambridge Univ Press, 1994.

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Authors and Affiliations

  1. Department of Mathematics, Tallinn University of Technology, Ehitajate tee 5, 19086, Tallinn, Estonia

    Eugen Paal & Juri Virkepu

Authors
  1. Eugen Paal
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  2. Juri Virkepu
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Paal, E., Virkepu, J. Plane rotations and Hamilton—Dirac mechanics. Czech J Phys 55, 1503–1508 (2005). https://doi.org/10.1007/s10582-006-0032-7

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  • DOI: https://doi.org/10.1007/s10582-006-0032-7

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