First-class constraint: Difference between revisions

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Revision as of 14:07, 23 December 2012

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|expert = Mathematics|date = November 2008}}

{{distinguish|Primary constraint}}

In a constrained Hamiltonian system, a dynamical quantity is called a '''first class constraint''' if its Poisson bracket with all the other constraints vanishes on the '''constraint surface''' (the surface implicitly defined by the simultaneous vanishing of all the constraints). A '''second class constraint''' is one that is not first class.

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==See also==

*[[Dirac bracket]],

*[[holonomicHolonomic constraint]],

*[[analysisAnalysis of flows]]

==References==