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Quantified states of spin emerging in classical spinor calculus
S. Hajjawi, J. Buitrago

Abstract

The trajectory of a charged-massive point-particle in presence of an external magnetic field, at the classical level, is here obtained by solving the spinorial equations of motion. Within this representation, the solution is given by means of two 2-component spinors which contain global phase-factors coinciding with the quantum representation of a 1/2 spin particle in its rest-frame. Each individual spinor may be then associated to the up- and down-state respectively. This formalism then appears to reveal classical properties of the spin as well as quantum ones.