Deformations of Poisson Brackets, Dirac Brackets and Applications

Flato, M.; Lichnerowicz, A.; Sternheimer, D.

doi:10.1063/1.523104

Deformations of Poisson Brackets, Dirac Brackets and Applications

M. Flato
(
- College de France
)
,
A. Lichnerowicz
(
- College de France
)
,
D. Sternheimer
(
- College de France
)

Sep, 1975

30 pages

Published in:

J.Math.Phys. 17 (1976) 1754

DOI:

10.1063/1.523104

Report number:

Print-76-0219 (COLLEGE DE FRANCE)

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Abstract: (AIP)

After a short review of results which we recently obtained on deformations of Lie algebras associated with symplectic manifolds, we discuss physical applications and treat some examples with deformed Poisson brackets. We make explicit a connection between classical and quantum mechanics, and the theory of Dirac brackets for second class constraints, from the viewpoint of deformation theory. Finally we discuss the general Dirac constraints formalism.

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