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Constrained dynamics and exterior differential systems

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Constrained dynamics and exterior differential systems. / Hartley, D. H.; Tucker, Robin; Tuckey, P. A.
In: Journal of Physics A: Mathematical and General , Vol. 24, No. 22, 21.11.1991, p. 5253-5265.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hartley, DH, Tucker, R & Tuckey, PA 1991, 'Constrained dynamics and exterior differential systems', Journal of Physics A: Mathematical and General , vol. 24, no. 22, pp. 5253-5265. https://doi.org/10.1088/0305-4470/24/22/009

APA

Hartley, D. H., Tucker, R., & Tuckey, P. A. (1991). Constrained dynamics and exterior differential systems. Journal of Physics A: Mathematical and General , 24(22), 5253-5265. https://doi.org/10.1088/0305-4470/24/22/009

Vancouver

Hartley DH, Tucker R, Tuckey PA. Constrained dynamics and exterior differential systems. Journal of Physics A: Mathematical and General . 1991 Nov 21;24(22):5253-5265. doi: 10.1088/0305-4470/24/22/009

Author

Hartley, D. H. ; Tucker, Robin ; Tuckey, P. A. / Constrained dynamics and exterior differential systems. In: Journal of Physics A: Mathematical and General . 1991 ; Vol. 24, No. 22. pp. 5253-5265.

Bibtex

@article{42c463359bbd4701a5a6b523c18bce9d,
title = "Constrained dynamics and exterior differential systems",
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. ",
author = "Hartley, {D. H.} and Robin Tucker and Tuckey, {P. A.}",
year = "1991",
month = nov,
day = "21",
doi = "10.1088/0305-4470/24/22/009",
language = "English",
volume = "24",
pages = "5253--5265",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "22",

}

RIS

TY - JOUR

T1 - Constrained dynamics and exterior differential systems

AU - Hartley, D. H.

AU - Tucker, Robin

AU - Tuckey, P. A.

PY - 1991/11/21

Y1 - 1991/11/21

N2 - 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.

AB - 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.

U2 - 10.1088/0305-4470/24/22/009

DO - 10.1088/0305-4470/24/22/009

M3 - Journal article

VL - 24

SP - 5253

EP - 5265

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 22

ER -