Involution and constrained dynamics : I. The Dirac approach

Seiler, W. M. and Tucker, Robin (1995) Involution and constrained dynamics : I. The Dirac approach. Journal of Physics A: Mathematical and General, 28 (15). pp. 4431-4451. ISSN 0305-4470

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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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics A: Mathematical and General
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3100
Subjects:
?? general physics and astronomymathematical physicsstatistical and nonlinear physicsphysics and astronomy(all) ??
ID Code:
75078
Deposited By:
Deposited On:
07 Aug 2015 14:26
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 09:47