Kubo-Anderson oscillator and NMR of solid state

The analytical solution for the Kubo-Anderson oscillator with a fluctuating frequency ω for arbitrary distribution function p(ω) has been obtained. The obtained theoretical expression has been applied to consideration of some dynamical problems of solid state NMR, namely (1) dynamical transformation of NMR line shape and spin-echo signal and (2) the temperature transformation of the second moment of NMR line for the case, when the potential barrier for the mobility of magnetic nuclei is a stochastic function of time.