Quantized states of spin emerging in classical spinor calculus

Department of Astrophysics of the University of La Laguna, Avenida Francisco Sanchez, s/n, 38205, La Laguna, Tenerife, Spain

Corresponding author: jgb@iac.es

Abstract

The trajectory of a charged-massive point-particle in presence of an external magnetic field, at the classical level, is here obtained by using spinorial equations of motion. Within this representation the solution is given by means of two 2-component Weyl-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. The formalism then appears to reveal classical properties of the spin as well as quantum ones.