Classical aspects of the PauliSchrödinger equation
Abstract
We derive a PauliSchrödinger type equation from the classical Liouville equation, for a neutral particle with arbitrary spin and magnetic dipole. Our derivation does not apply to a general classical phasespace distribution. Nevertheless, in certain particular cases we show that there is a correspondence between the classical equations and the PauliSchrödinger equation. Consequently, the results of the SternGerlach, and also the Rabi type molecular beam experiments, can be interpreted classically, that is, in such a way that the particles have welldefined and continuous trajectory, and also continuous orientation of the spin vector. Theoretical and experimental implications of this conclusion are briefly commented.
 Publication:

Physics Letters A
 Pub Date:
 November 1998
 DOI:
 10.1016/S03759601(98)006823
 Bibcode:
 1998PhLA..248...93D