Abstract
Quasi-probability distribution functions fj WW, fj MM for quantum spin-j systems are derived based on the Wigner-Weyl, Margenau-Hill approaches. A probability distribution fj sph which is nonzero only on the surface of the sphere of radius √j(j+1) is obtained by expressing the characteristic function in terms of the spherical moments. It is shown that the Wigner-Weyl distribution function turns out to be a distribution over the sphere in the classical limit.
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Ramachandran, G., Usha Devi, A.R., Devi, P. et al. Quasi-probability distributions for arbitrary spin-j particles. Found Phys 26, 401–412 (1996). https://doi.org/10.1007/BF02069479
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DOI: https://doi.org/10.1007/BF02069479