# Wigner phase-space distribution as a wave function

@article{Bondar2013WignerPD, title={Wigner phase-space distribution as a wave function}, author={Denys I. Bondar and Renan Cabrera and Dmitry V Zhdanov and Herschel A. Rabitz}, journal={Physical Review A}, year={2013}, volume={88}, pages={263-271} }

We demonstrate that the Wigner function of a pure quantum state is a wave function in a specially tuned Dirac bra-ket 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 Koopman-von Neumann wave function rather than into a classical probability distribution. Since probability amplitude…

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