Abstract
We determine the bivariate probability densities with specified margins and show that the Cohen-Zaparovanny class of positive phase-space density functions, with the quantum mechanical marginal distributions of position and momentum, contains all such densities.
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References
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Finch, P.D., Groblicki, R. Bivariate probability densities with given margins. Found Phys 14, 549–552 (1984). https://doi.org/10.1007/BF00736599
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DOI: https://doi.org/10.1007/BF00736599