Problem of a single electron in an external magnetic field solved via Method of Recurrence Relations

Abstract

We use the Method of Recurrence Relations (MRR) to study the behavior of a single electron in the presence of a uniform magnetic field along the z-direction. We find that the time-dependent autocorrelation functions in the x- and y-directions, C_x(t) and C_y(t), respectively, oscillate periodically in time, while in the z-direction the temporal autocorrelation function C_z(t) has a constant value, corroborating the expected result that the spin precesses about the direction of the applied magnetic field.

Keywords:
Spin Dynamics; Method of Recurrence Relations