Hamiltonian mechanics | Mathematical quantization | Symplectic geometry

Dirac bracket

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; specifically, when constraints are at hand, so that the number of apparent variables exceeds that of dynamical ones. 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. (Wikipedia).

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to the Dirac Delta Function

From playlist Differential Equations

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From playlist Machine Learning

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From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS

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From playlist Differential Equations for Engineers

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From playlist Integrals

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From playlist Dirac Equation

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From playlist Phys 331 Videos - Youtube

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From playlist Math/Derivation Videos

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From playlist The Legacy of Emmy Noether

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From playlist String Theory Lectures

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From playlist Machine Learning

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From playlist Geometry

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From playlist Dirac Equation

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From playlist Theory and Computation for 2D Materials 2020

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From playlist Integrability, Anomalies and Quantum Field Theory

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Quantum Field Theory 1a - Creation and Destruction I

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(ML 7.7) Dirichlet-Categorical model (part 1)

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From playlist Machine Learning

Related pages

Legendre transformation | Levi-Civita symbol | Vector potential | Lagrangian (field theory) | Fermion | Phase space | Symplectic manifold | Hamiltonian mechanics | Canonical quantization | Uncertainty principle | Overcompleteness | Poisson bracket | Noncommutative geometry | Grassmann number | Lagrangian mechanics