Geodesic
Autocorrelation functions of the anisotropic Heisenberg paramagnet in the approximation of a self-consistent fluctuating field
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 111-119 
V. E. Zobov. Autocorrelation functions of the anisotropic Heisenberg paramagnet in the approximation of a self-consistent fluctuating field. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 111-119. http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a9/
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     author = {V. E. Zobov},
     title = {Autocorrelation functions of~the anisotropic {Heisenberg} paramagnet in~the approximation of~a~self-consistent fluctuating field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {111--119},
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     volume = {84},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a9/}
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The method proposed earlier for investigating the dynamics of the isotropic Heisenberg paramagnet at high temperatures is generalized to the anisotropic case. A system of nonlinear integrodifferential equations relating the three autocorrelation functions of the $x$, $y$, and $z$ components of an individual spin is obtained. A solution of the system is sought in the form of a series in powers of the time and is investigated on the plane of the complex time variable. The coefficients of the series up to the tenth order for the $xy$ model and the model with truncated dipole interaction are calculated, and the parameters of the singular points nearest the origin are determined from them.

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