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- W254597332 abstract "Abstract It is possible to give a complete description of Classical Mechanics in terms of sympletic geometry and Poisson brackets. It is the essence of the Hamiltonian formalism. Deformations of the Poisson Lie algebra and deformations of the associative algebra defined by the usual product of scalar functions determine interesting formal algebras and give a new approach for quantum mechanics [2]. The general study of the automorphisms of such algebras gives precious information on the invariance problems concerning quantum mechanics. In this paper, my purpose is to show the main points of such a study. I consider here only dynamical systems with a finite number of degrees of freedom, but the approach and a significant part of the results can be extended to physical fields." @default.
- W254597332 created "2016-06-24" @default.
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- W254597332 date "1980-01-01" @default.
- W254597332 modified "2023-09-26" @default.
- W254597332 title "Automorphisms of Formal Algebras Associated by Deformation with a Symplectic Manifold" @default.
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- W254597332 doi "https://doi.org/10.1016/b978-0-12-691380-4.50020-4" @default.
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