Constraints in polysymplectic (covariant) Hamiltonian formalism
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0008024,
title = {Constraints in polysymplectic (covariant) Hamiltonian formalism},
author = {G. Sardanashvily},
journal= {arXiv preprint arXiv:math-ph/0008024},
year = {2007}
}
Comments
28 pages, the report on 15th International Workshop on Differential Geometric Methods in Theoretical Mechanics, Tenerife, August 20-27, 2000