Spin in Schr\"odinger-quantized Pseudoclassical Systems
Quantum Physics
2021-10-12 v3 High Energy Physics - Theory
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 spin^c(n) representations rather than reducible so(n) representations when quantized in the Schr\"odinger realization.
Cite
@article{arxiv.2105.12187,
title = {Spin in Schr\"odinger-quantized Pseudoclassical Systems},
author = {Theodore J. Allen},
journal= {arXiv preprint arXiv:2105.12187},
year = {2021}
}
Comments
7 pages. Published version