Spin relaxation and linear-in-electric-field frequency shift in an arbitrary, time-independent magnetic field

A method is presented to calculate the spin relaxation times T(1), T(2) due to a non-uniform magnetic field, and the linear-in-electric-field precession frequency shift delta(omega E) when an electric field is present, in the diffusion approximation for spins confined to a rectangular cell. It is found that the rectangular cell geometry admits of a general result for T(1), T(2), and delta(omega E) in terms of the spatial cosine-transform components of the magnetic field. The result is applied to the case of a permanently-magnetized dipole impurity near the cell. (C) 2011 Elsevier Inc. All rights reserved.