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This article is cited in 20 scientific papers (total in 20 papers)
Describing spinors using probability distribution functions
V. I. Man'ko, O. V. Man'ko, S. S. Safonov P. N. Lebedev Physical Institute, Russian Academy of Sciences
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.
Received: 06.11.1997
Citation:
V. I. Man'ko, O. V. Man'ko, S. S. Safonov, “Describing spinors using probability distribution functions”, TMF, 115:2 (1998), 185–198; Theoret. and Math. Phys., 115:2 (1998), 520–529
Linking options:
https://www.mathnet.ru/eng/tmf866https://doi.org/10.4213/tmf866 https://www.mathnet.ru/eng/tmf/v115/i2/p185
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