Noz Marilyn E Noz & Kim Young Suh Kim 
Phase Space Picture Of Quantum Mechanics: Group Theoretical Approach [PDF ebook] 

This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrodinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.