The Semiclassical Propagator for Spin Coherent States
Condensed Matter
2009-10-31 v1 High Energy Physics - Theory
Quantum Physics
Abstract
We use a continuous-time path integral to obtain the semiclassical propagator for minimal-spread spin coherent states. We pay particular attention to the ``extra phase'' discovered by Solari and Kochetov, and show that this correction is related to an anomaly in the fluctuation determinant. We show that, once this extra factor is included, the semiclassical propagator has the correct short time behaviour to , and demonstrate its consistency under dissection of the path
Cite
@article{arxiv.cond-mat/0004247,
title = {The Semiclassical Propagator for Spin Coherent States},
author = {Michael Stone and Kee-Su Park and Anupam Garg},
journal= {arXiv preprint arXiv:cond-mat/0004247},
year = {2009}
}
Comments
37 pages. RevTeX