First Class Constraint - Second Class Constraints

Second Class Constraints

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 for the preliminaries.

Read more about this topic:  First Class Constraint

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