Abstract
We propose a new derivation of Wigner's function based on the property of positivity of its integrals along straight lines in phase space. Identifying the values of these marginalizations with densities pertaining to invariant observables, we are able to reconstruct Wigner's pseudo-distribution from its slices.
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Bertrand, J., Bertrand, P. A tomographic approach to Wigner's function. Found Phys 17, 397–405 (1987). https://doi.org/10.1007/BF00733376
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DOI: https://doi.org/10.1007/BF00733376