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Deformations et quantification

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Presentiamo uno studio matematico delle deformazioni differenziali associate ad uno spazio simplettico. Indichiamo quindi delle relazioni con le algebre di operatori della Teoria dei quanti.

Summary

We present a mathematical study of the differentiable defomrations of the algebras associated with phase space. Deformations of the Lie algebra ofC ∞ functions defined by the Poisson bracket generalize the well-known Moyal bracket. We give in terms ofC ∞ functions associative algebras isomorphic to the operator algebras of quantum theory.

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References

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Authors and Affiliations

  1. del Collège de France, France

    A. Lichnerowicz

Authors
  1. A. Lichnerowicz
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(Conferenza tenuta il 9 giugno 1978)

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Lichnerowicz, A. Deformations et quantification. Seminario Mat. e. Fis. di Milano 48, 105–118 (1978). https://doi.org/10.1007/BF02925565

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  • DOI: https://doi.org/10.1007/BF02925565

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