Gh. Rutherford et R. Grobe, SPIN DYNAMICS OF ELECTRONS IN A UNIDIRECTIONAL, INHOMOGENEOUS MAGNETIC-FIELD, Journal of physics. A, mathematical and general (Print), 31(46), 1998, pp. 9331-9340
We investigate the dynamics of electrons of opposite spin in an inhomo
geneous but unidirectional magnetic field. We compare the quantum expe
ctation values of wavefunctions obtained from the Dirac equation with
the averages of classical ensembles. Both confirm our analytical predi
ctions for a parameter regime in which the electrons are separated but
have partially spatially overlapping probabilities.