Abstract
The dynamics of the paramagnetic spin ( S= 1 2 ) system, treated as an open system interacting with an alternating magnetic field and a lattice (phonons), is considered. Starting with the generalized kinetic equations, the non-Markovian equations describing the Zeeman, the dipole interaction and the resonant phonon subsystems are obtained with accuracy to terms of the second order in a weak perturbation. The passage from a set of integro-differential equations (so called equations with memory) to equations in the Markovian limit is studied. The manner of transition to equations in the high-temperature approximation is explicitly exhibited. The connections with other equations are discussed.
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