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Irregular Hamiltonian Systems

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arxiv hep-th/0301256 v1 pith:KILVCQ64 submitted 2003-01-31 hep-th

Irregular Hamiltonian Systems

classification hep-th
keywords systemshamiltoniancasesdiracirregularaccordingalongapplicable
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Hamiltonian systems with linearly dependent constraints (irregular systems), are classified according to their behavior in the vicinity of the constraint surface. For these systems, the standard Dirac procedure is not directly applicable. However, Dirac's treatment can be slightly modified to obtain, in some cases, a Hamiltonian description completely equivalent to the Lagrangian one. A recipe to deal with the different cases is provided, along with a few pedagogical examples.

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