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Involution and constrained dynamics: I. The Dirac approach

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Involution and constrained dynamics: I. The Dirac approach. / Seiler, W. M.; Tucker, Robin.
In: Journal of Physics A: Mathematical and General , Vol. 28, No. 15, 07.08.1995, p. 4431-4451.

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

Harvard

Seiler, WM & Tucker, R 1995, 'Involution and constrained dynamics: I. The Dirac approach', Journal of Physics A: Mathematical and General , vol. 28, no. 15, pp. 4431-4451. https://doi.org/10.1088/0305-4470/28/15/022

APA

Seiler, W. M., & Tucker, R. (1995). Involution and constrained dynamics: I. The Dirac approach. Journal of Physics A: Mathematical and General , 28(15), 4431-4451. https://doi.org/10.1088/0305-4470/28/15/022

Vancouver

Seiler WM, Tucker R. Involution and constrained dynamics: I. The Dirac approach. Journal of Physics A: Mathematical and General . 1995 Aug 7;28(15):4431-4451. doi: 10.1088/0305-4470/28/15/022

Author

Seiler, W. M. ; Tucker, Robin. / Involution and constrained dynamics : I. The Dirac approach. In: Journal of Physics A: Mathematical and General . 1995 ; Vol. 28, No. 15. pp. 4431-4451.

Bibtex

@article{d638ea3c7b4e450295397af6d56a48ea,
title = "Involution and constrained dynamics: I. The Dirac approach",
abstract = "We study the theory of systems with constraints from the point of view of the formal theory of partial differential equations. For finite-dimensional systems we show that the Dirac algorithm completes the equations of motion to an involutive system. We discuss the implications of this identification for field theories and argue that the involution analysis is more general and flexible than the Dirac approach. We also derive intrinsic expressions for the number of degrees of freedom. ",
author = "Seiler, {W. M.} and Robin Tucker",
year = "1995",
month = aug,
day = "7",
doi = "10.1088/0305-4470/28/15/022",
language = "English",
volume = "28",
pages = "4431--4451",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "15",

}

RIS

TY - JOUR

T1 - Involution and constrained dynamics

T2 - I. The Dirac approach

AU - Seiler, W. M.

AU - Tucker, Robin

PY - 1995/8/7

Y1 - 1995/8/7

N2 - We study the theory of systems with constraints from the point of view of the formal theory of partial differential equations. For finite-dimensional systems we show that the Dirac algorithm completes the equations of motion to an involutive system. We discuss the implications of this identification for field theories and argue that the involution analysis is more general and flexible than the Dirac approach. We also derive intrinsic expressions for the number of degrees of freedom.

AB - We study the theory of systems with constraints from the point of view of the formal theory of partial differential equations. For finite-dimensional systems we show that the Dirac algorithm completes the equations of motion to an involutive system. We discuss the implications of this identification for field theories and argue that the involution analysis is more general and flexible than the Dirac approach. We also derive intrinsic expressions for the number of degrees of freedom.

U2 - 10.1088/0305-4470/28/15/022

DO - 10.1088/0305-4470/28/15/022

M3 - Journal article

VL - 28

SP - 4431

EP - 4451

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 15

ER -