Spinor Description of a General Spin-J System
Statistical Mechanics
2007-05-23 v1
Abstract
We consider a spin coherent states description of a general quantum spin system. It is shown that it is possible to use the spin-1/2 representation to study the general spin-J case. We identify the 1/2 spinor components as the homogeneous coordinates of the projective space associated to the complex variable that labels the coherent states and establish a relation between the two-component spinor and the bosonic Schwinger representation of a spin operator. We rewrite the equations of motion, obtained from the path integral for the evolution operator or partition function, in terms of the 1/2 spinor and define the effective Hamiltonian of its evolution.
Keywords
Cite
@article{arxiv.cond-mat/0012226,
title = {Spinor Description of a General Spin-J System},
author = {V. R. Vieira and P. D. Sacramento},
journal= {arXiv preprint arXiv:cond-mat/0012226},
year = {2007}
}