Geodesic
Markov chains for compatible states and the equations of quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 56-60
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The equation of a Markov process for the case of compatible states is discussed. In the first approximation it goes over into the well-known equation for incompatible states and in the second approximation is equivalent to Feynman's postulate for complex probability amplitudes. 
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A. A. Biryukov. Markov chains for compatible states and the equations of quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 56-60. http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a6/

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