Geodesic
Kinetic equation for spin waves in a weak alternating magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 419-424 
O. A. Ol'khov. Kinetic equation for spin waves in a weak alternating magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 419-424. http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a15/
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     author = {O. A. Ol'khov},
     title = {Kinetic equation for spin waves in a~weak alternating magnetic field},
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     pages = {419--424},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a15/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

From the equation for the density matrix, a kinetic equation is obtained for the magnon population numbers $n_k$ in the first nonvanishing approximation in the small parameter $hA_k/\gamma_k$, where $h$ is the amplitude of the alternating field, $A_k$ is the constant of the coupling between the alternating field and the magnons, and $\gamma_k$ is the damping frequency of magnons with wave vector $k$. A diagram method is used to show that only in this approximation and, in addition, only for small frequency difference $\omega-2\omega_k\ll\omega_k$, does the expression for the rate of change of $n_k$ have the simple Lorentzian form postulated earlier by White and Sparks.

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