First-class constraint: Difference between revisions

Revision as of 15:20, 17 January 2016

Revision as of 17:15, 17 January 2016

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In a constrained Hamiltonian system, a dynamical quantity is '''second class''' if its Poisson bracket with at least one constraint is nonvanishing. A constraint that has a nonzero Poisson bracket with at least one other constraint, then, is a '''second class constraint'''.

See [[first class constraints]] or [[Dirac bracket]]s for thediverse preliminariesillustrations.

===An example: a particle confined to a sphere===