Spin in Schrödinger-quantized pseudoclassical systems

Abstract

We examine the construction of the spin angular momentum in systems with pseudoclassical Grassmann variables. In constrained systems, there are many different algebraic forms for the dynamical variables that will all agree on the constraint surface. For the angular momentum, a particular form of the generators is preferred, which yields superselection sectors of irreducible spinc(n) representations rather than reducible so(n) representations when quantized in the Schrödinger realization.