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The equivalence between the Hamiltonian and Lagrangian formulations for the parametrization-invariant theories. (English) Zbl 1008.37039

Summary: The link between the treatment of singular Lagrangians as field systems and the canonical Hamiltonian approach is studied. It is shown that the singular Lagrangians as field systems are always in exact agreement with the canonical approach for the parametrization invariant theories.

MSC:

37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems
70H05 Hamilton’s equations
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