Star products , duality and double Lie algebras

  title={Star products , duality and double Lie algebras},
  author={Olga V. Man’ko and Vladimir I. Man’ko and Giuseppe Marmo and Patrizia Vitale},
  • Olga V. Man’ko, Vladimir I. Man’ko, +1 author Patrizia Vitale
  • Published 2006
The transition from quantum to classical mechanics has been an important research subject since the beginning of quantum mechanics (see [1, 2] for a review). A suitable setting for this problem is represented by the Wigner-Weyl-Moyal formalism where the operators corresponding to observables and the states, considered as linear functionals on the space of observables, are mapped onto functions on a suitable manifold. Such a representation for quantum mechanics has been later generalized… CONTINUE READING