Nuclear Magnetic Resonance in Gaussian Stochastic Local Field

Abstract

Anderson–Weiss–Kubo model of magnetic resonance is reconsidered to bridge the existing gaps in its applications for solutions of fundamental problems of spin dynamics and theory of master equations. The model considers the local field fluctuations as one-dimensional normal random process. We refine the conditions of applicability of perturbation theory to calculate the spin depolarization and phase relaxation. A counterexample is considered to show that in the absence of temporal fluctuations of local fields, perturbation theory is not applicable even qualitatively. It is shown that for slow fluctuations, the behavior of the longitudinal magnetization is simply related to the correlation function of the local field. Quasi-adiabatic losses are estimated.