Mathematical quantization | Symplectic geometry

Moyal bracket

In physics, the Moyal bracket is the suitably normalized antisymmetrization of the phase-space star product. The Moyal bracket was developed in about 1940 by José Enrique Moyal, but Moyal only succeeded in publishing his work in 1949 after a lengthy dispute with Paul Dirac. In the meantime this idea was independently introduced in 1946 by Hip Groenewold. (Wikipedia).

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Related pages

Hamilton–Jacobi equation | Planck constant | Commutator | Moyal product | Group contraction | Operational calculus | Phase space | Lie algebra extension | Hamiltonian mechanics | Liouville's theorem (Hamiltonian) | Poisson bracket | Wigner–Weyl transform | Jacobi identity | Dirac bracket | Lie algebra