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On a generalization of the Dirac bracket in the De Donder-Weyl Hamiltonian formalism

High Energy Physics - Theory 2013-01-10 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

The elements of the contrained dynamics algorithm in the De Donder-Weyl (DW) Hamiltonian theory for degenerate Lagrangian theories are discussed. A generalization of the Dirac bracket to the DW Hamiltonian theory with second class constraints (defined in the text) is presented.

Keywords

Cite

@article{arxiv.0807.3127,
  title  = {On a generalization of the Dirac bracket in the De Donder-Weyl Hamiltonian formalism},
  author = {I. Kanatchikov},
  journal= {arXiv preprint arXiv:0807.3127},
  year   = {2013}
}

Comments

11 pages. To appear in the Proc. 10th Int. Conf. Diff. Geom. and its Applications, Olomouc, Czech Republic