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Constrained dynamics and exterior differential systems

D Hartley, R W Tucker and P A Tuckey

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The Dirac analysis of constrained Hamiltonian mechanics is one of the conventional precursors to the quantization of classical systems. In this paper the analysis is reformulated 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 non-coordinate systems. A computer algebra implementation of the procedure in REDUCE is also described.


PACS

45.20.Jj Lagrangian and Hamiltonian mechanics

MSC

70H45 Constrained dynamics, Dirac's theory of constraints (See also 70F20, 70F25, 70Gxx)

Subjects

Mathematical physics

Dates

Issue 22 (21 November 1991)



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