Quantum mechanical description of Stern-Gerlach experiments

G. Potel, F. Barranco, S. Cruz-Barrios, J. Gómez-Camacho

Published 2004-09-29Version 1

The motion of neutral particles with magnetic moments in an inhomogeneous magnetic field is described in a quantum mechanical framework. The validity of the semi-classical approximations which are generally used to describe these phenomena is discussed. Approximate expressions for the evolution operator are derived and compared to the exact calculations. Focusing and spin-flip phenomena are predicted. The reliability of Stern-Gerlach experiments to measure spin projections is assessed in this framework.