Physics – Mathematical Physics
Scientific paper
2001-05-10
Fortsch.Phys. 50 (2002) 105-169
Physics
Mathematical Physics
65 pages. LaTeX file
Scientific paper
The jet bundle description of time-dependent mechanics is revisited. The constraint algorithm for singular Lagrangians is discussed and an exhaustive description of the constraint functions is given. By means of auxiliary connections we give a basis of constraint functions in the Lagrangian and Hamiltonian sides. An additional description of constraints is also given considering at the same time compatibility, stability and second-order condition problems. Finally, a classification of the constraints in first and second class is obtained using a cosymplectic geometry setting. Using the second class constraints, a Dirac bracket is introduced, extending the well-known construction by Dirac.
Leon Manuel de
Marin-Solano Jesus
Marrero Juan Carlos
Muñoz-Lecanda Miguel C.
Roman-Roy Narciso
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