Reduced matrix elements of V^{(12)}, V^{(13)} and V^{(14)} for d ^{n} configurations
Abstract
We demonstrate that the Wigner function of a pure quantum state is a wave function in a specially tuned Dirac braket formalism and argue that the Wigner function is in fact a probability amplitude for the quantum particle to be at a certain point of the classical phase space. Additionally, we establish that in the classical limit, the Wigner function transforms into a classical Koopmanvon Neumann wave function rather than into a classical probability distribution. Since probability amplitude need not be positive, our findings provide an alternative outlook on the Wigner function's negativity.
 Publication:

Physical Review A
 Pub Date:
 November 2013
 DOI:
 10.1103/PhysRevA.88.052108
 arXiv:
 arXiv:1202.3628
 Bibcode:
 2013PhRvA..88e2108B
 Keywords:

 03.65.Ca;
 03.65.Sq;
 03.67.Ac;
 Formalism;
 Semiclassical theories and applications;
 Quantum algorithms protocols and simulations;
 Quantum Physics;
 Mathematical Physics;
 Physics  Atomic Physics
 EPrint:
 6 pages and 2 figures