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Constrained dynamics and exterior differential systems

Hartley, D. H. and Tucker, Robin and Tuckey, P. A. (1991) Constrained dynamics and exterior differential systems. Journal of Physics -London- a Mathematical and General, 24 (22). pp. 5253-5265. ISSN 0305-4470

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Abstract

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.

Item Type: Article
Journal or Publication Title: Journal of Physics -London- a Mathematical and General
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 74974
Deposited By: ep_importer_pure
Deposited On: 04 Aug 2015 14:24
Refereed?: Yes
Published?: Published
Last Modified: 20 Sep 2017 02:14
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/74974

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