The **Dirac bracket** is a generalization of the Poisson bracket developed by Paul Dirac to treat classical systems with second class constraints in Hamiltonian mechanics, and to thus allow them to undergo canonical quantization. It is an important part of Dirac's development of Hamiltonian mechanics to elegantly handle more general Lagrangians, when constraints and thus more apparent than dynamical variables are at hand. More abstractly, the two-form implied from the Dirac bracket is **the restriction of the symplectic form to the constraint surface in phase space**.

This article assumes familiarity with the standard Lagrangian and Hamiltonian formalisms, and their connection to canonical quantization. Details of Dirac's modified Hamiltonian formalism are also summarized to put the Dirac bracket in context.

Read more about Dirac Bracket: Inadequacy of The Standard Hamiltonian Procedure, Generalized Hamiltonian Procedure, The Dirac Bracket, Illustration On The Example Provided

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**Dirac Bracket**- Illustration On The Example Provided

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