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|Abstract:||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 need not be positive, our findings provide an alternative outlook on the Wigner function’s negativity.|
|Citation:||Bondar, Denys I., Cabrera, Renan, Zhdanov, Dmitry V., Rabitz, Herschel A. (2013). Wigner phase-space distribution as a wave function. PHYSICAL REVIEW A, 88 (10.1103/PhysRevA.88.052108|
|Pages:||052108-1 - 052108-6|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||PHYSICAL REVIEW A|
|Version:||Final published version. Article is made available in OAR by the publisher's permission or policy.|
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