Hamiltonization of theories with degenerate coordinates |
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Authors: | D. M. Gitman I. V. Tyutin |
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Affiliation: | a Institute of Physics, University of Sao Paulo, Brazil b Lebedev Physics Institute, Moscow, Russia |
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Abstract: | We consider a class of Lagrangian theories where part of the coordinates does not have any time derivatives in the Lagrange function (we call such coordinates degenerate). We advocate that it is reasonable to reconsider the conventional definition of singularity based on the usual Hessian and, moreover, to simplify the conventional hamiltonization procedure. In particular, in such a procedure, it is not necessary to complete the degenerate coordinates with the corresponding conjugate momenta. |
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