Constraints in polysymplectic (covariant) Hamiltonian formalism
Abstract
Description
In the framework of polysymplectic Hamiltonian formalism, degenerate Lagrangian field systems are described as multi-Hamiltonian systems with Lagrangian constraints. The physically relevant case of degenerate quadratic Lagrangians is analized in detail, and the Koszul--Tate resolution of Lagrangian constraints is constructed in an explicit form. The particular case of Hamiltonian mechanics with time-dependent constraints is studied.
28 pages, the report on 15th International Workshop on Differential Geometric Methods in Theoretical Mechanics, Tenerife, August 20-27, 2000
28 pages, the report on 15th International Workshop on Differential Geometric Methods in Theoretical Mechanics, Tenerife, August 20-27, 2000