Some properties of constraints in theories with degenerate Lagrangians
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 82-91
Voir la notice de l'article provenant de la source Math-Net.Ru
The Poisson brackets of primary constraints are expressed by means of linear differential
operators in terms of Lagrangian constraints. A criterion for the existence in a theory of
second-class constraints is proposed in the framework of the Lagrangian formalism. The
Poisson brackets of primary constraints with the canonical Harniltonian are calculated. By
means of Noether's theorem, Part II, it is shown that invariance of the action with respect
to transformations with arbitrary functions of the time leads to primary constraints that
are in involution with one another and with the canonical Hamiltonian, at least in the weak
sense. It follows from the analysis of the functional arbitrariness in the solutions of the
Hamilton equations that such primary constraints must be first-class constraints.
@article{TMF_1985_64_1_a8,
author = {V. V. Nesterenko and A. M. Chervyakov},
title = {Some properties of constraints in theories with degenerate {Lagrangians}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {82--91},
publisher = {mathdoc},
volume = {64},
number = {1},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a8/}
}
TY - JOUR AU - V. V. Nesterenko AU - A. M. Chervyakov TI - Some properties of constraints in theories with degenerate Lagrangians JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 82 EP - 91 VL - 64 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a8/ LA - ru ID - TMF_1985_64_1_a8 ER -
V. V. Nesterenko; A. M. Chervyakov. Some properties of constraints in theories with degenerate Lagrangians. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 1, pp. 82-91. http://geodesic.mathdoc.fr/item/TMF_1985_64_1_a8/