Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Dynamical systems and anholonomic constraints
AU - Hartley, David
AU - Tucker, Robin
AU - Tuckey, P. A.
PY - 1993
Y1 - 1993
N2 - The Dirac analysis of constrained Hamiltonian mechanics is one of the conventional precursors to the quantisation of classical systems. We reformulate this analysis in the language of exterior differential systems, starting from the Lagrangian, moving through the generation of primary and secondary constraints and leading to the construction of symmetry generators for gauge symmetries. This reformulation extends the procedure to systems involving anholonomic elements.
AB - The Dirac analysis of constrained Hamiltonian mechanics is one of the conventional precursors to the quantisation of classical systems. We reformulate this analysis in the language of exterior differential systems, starting from the Lagrangian, moving through the generation of primary and secondary constraints and leading to the construction of symmetry generators for gauge symmetries. This reformulation extends the procedure to systems involving anholonomic elements.
U2 - 10.1016/0083-6656(93)90044-K
DO - 10.1016/0083-6656(93)90044-K
M3 - Journal article
VL - 37
SP - 265
EP - 268
JO - Vistas in Astronomy
JF - Vistas in Astronomy
SN - 0083-6656
ER -