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The huge spin precession frequency observed in recent experiments withspin-polarized beams of hot electrons shot through magnetized films isinterpreted as being caused by Zeeman coupling of the electron spins to theso-called Weiss exchange field in the film. A "Stern-Gerlach experiment" forelectrons moving through an inhomogeneous exchange field is proposed. Themicroscopic origin of exchange interactions and of large mean exchange fields,leading to different types of magnetic order, is elucidated. A microscopicderivation of the equations of motion of the Weiss exchange field is presented.Novel proofs of the existence of phase transitions in quantum XY-models andantiferromagnets, based on an analysis of the statistical distribution of theexchange field, are outlined.Comment: 36 pages, 3 figure

Magnetism and the Weiss Exchange Field-A Theoretical Analysis Motivated by Recent Experiments