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arXiv · 1611.00753

Random spin distributions and the diffusion equation

Yamen Hamdouni
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Abstract

We show that the probability distribution corresponding to a fully random tracial state of a system of spin-S particles satisfies a diffusion-like equation. The diffusion coefficient turns out to be equal to $S(S+1)/6$, where $S$ is the magnitude of the spin of each particle. We also present a bosonization scheme for the lowering and raising total spin operators.

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Yamen Hamdouni. 2018-01-10. Random spin distributions and the diffusion equation. https://doi.org/10.1016/j.physleta.2017.07.008

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