Abstract
Irreducible representations of the rotation group are realized using a family of positive probability distributions of the spin projections for an arbitrary value of the spin. The family is parametrized by the points on the sphere. An invertible mapping of the spinors onto the probability distribution functions is constructed. Examples of probability distributions for the well-known states with the spins 1/2 and 1 are presented.
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Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 115, No. 2, pp. 185–198. May, 1998.
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Man'ko, V.I., Man'ko, O.V. & Safonov, S.S. Describing spinors using probability distribution functions. Theor Math Phys 115, 520–529 (1998). https://doi.org/10.1007/BF02575452
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DOI: https://doi.org/10.1007/BF02575452