Geodesic
Quasi-Taylor series in the theory of magnetism
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 2, pp. 263-271 Cet article a éte moissonné depuis la source Math-Net.Ru

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Summation formulas are derived for quasi-Taylor series that arise in the diagram technique for spin operators and correspond to $m$-point correlations of the spins. In the approximation of self-consistent pair correlations, we obtain an equation of state of an Ising ferromagnet $(d=3)$ valid in a wide range of temperatures and magnetic fields except for a narrow neighborhood of the critical point. In the same approximation, we calculate the shape of the magnetic resonance line of the Ising ferromagnet; it is Gaussian. In the limit $T\to\infty$, complete summation of the quasi- Taylor series yields an exact expression for the line shape. 
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D. A. Garanin; V. S. Lutovinov. Quasi-Taylor series in the theory of magnetism. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 2, pp. 263-271. http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a8/

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