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Dirac bracket: Poisson bracket, Second class constraints, Hamiltonian mechanics, Canonical quantization, Classical mechanics, Symplectic manifold, Hamiltonian Mechanics, First class constraint - Softcover

 
9786130761516: Dirac bracket: Poisson bracket, Second class constraints, Hamiltonian mechanics, Canonical quantization, Classical mechanics, Symplectic manifold, Hamiltonian Mechanics, First class constraint

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to correctly treat systems with second class constraints in Hamiltonian mechanics and canonical quantization. It is an important part of Dirac's development of Hamiltonian mechanics to handle more general Lagrangians. 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. The details of Dirac's modified Hamiltonian formalism are summarized to put the Dirac bracket in context.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to correctly treat systems with second class constraints in Hamiltonian mechanics and canonical quantization. It is an important part of Dirac's development of Hamiltonian mechanics to handle more general Lagrangians. 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. The details of Dirac's modified Hamiltonian formalism are summarized to put the Dirac bracket in context.

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