Phase-space descriptions of operators and the Wigner distribution in   quantum mechanics I. A Dirac inspired view
  Drawing inspiration from Dirac's work on functions of non commuting observables, we develop a fresh approach to phase space descriptions of operators and the Wigner distribution in quantum mechanics. The construction presented here is marked by its economy, naturalness and more importantly, by its potential for extensions and generalisations to situations where the underlying configuration space is non Cartesian. 
S. Chaturvedi, E. Ercolessi, G. Marmo, G. Morandi, N. Mukunda and R.   Simon