Geodesic
Energy spectrum and damping of spin waves in a ferromagnet with uniaxial anisotropy
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 102-116

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The ground state and magnon spectrum (excluding the region of magnetostatic oscillations) are found for a ferrodieleetric sample in the form of a triaxial ellipsoid. The treatment is based on a microscopic Hamiltonian of the ferrodielectric that takes into account isotropic exchange, Zeeman and dipole-dipole interactions, and also the energy of uniaxial magnetic anisotropy. The frequency of homogeneous precession of the magnetization is also determined. The Tyablikov–Bonch-Bruevich regular perturbation theory for the mass operator is used to calculate the damping due to three-magnon processes induced by the anisotropy; the line width of homogeneous ferromagnetic resonance is also estimated. 
@article{TMF_1972_11_1_a10,
     author = {V. I. Lymar' and Yu. G. Rudoi},
     title = {Energy spectrum and damping of spin waves in a ferromagnet with uniaxial anisotropy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {102--116},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_1_a10/}
}
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V. I. Lymar'; Yu. G. Rudoi. Energy spectrum and damping of spin waves in a ferromagnet with uniaxial anisotropy. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 102-116. http://geodesic.mathdoc.fr/item/TMF_1972_11_1_a10/