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In International Journal of Theoretical Physics, Vol. 20, No. 7. (1981), pp. 491-501, doi:10.1007/bf00669436 Key: citeulike:11970455
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Feynman has described a chessboard model for a one-dimensional relativistic quantum problem which yields the correct kernel for a free spin-1/2 particle moving in one spatial dimension. This chessboard problem can be solved as an Ising model, using the transfer matrix technique of statistical mechanics. The 2×2 transfer matrix represents the infinitesimal time evolution operator for the two eigenstates of the velocity operator.
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