Geodesic
Higher correlation functions of the Ising ferromagnet. The case of a linear model for spin $S=1/2$
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 401-412 
M. P. Zhelifonov. Higher correlation functions of the Ising ferromagnet. The case of a linear model for spin $S=1/2$. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 401-412. http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a11/
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     author = {M. P. Zhelifonov},
     title = {Higher correlation functions of the {Ising} ferromagnet. {The} case of a~linear model for spin $S=1/2$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {401--412},
     year = {1971},
     volume = {8},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Ising problem tor the spin $S\geqslant 1/2$ is solved by means of the two-time Green function method. It is shown that the chains of the coupled equations for Green functions are reduced to the closed systems of $L=2SP+1$ equations, $P$ being the coordination number of the lattice. The Green functions for $L=3,5,7,9,11$, found from these equations, make it possible to obtain sets of exact relationships for correlation functions. It is shown that these relationships lead to the complete solution of a dynamical problem in the case of a linear model $S=1/2$ (the two-particle and many-particle correlators are found) with various boundary conditions: the infinite chain of spins, the spin chain closed in a ring and the finite spin chain with fixed states of boundary spins.

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