On the extra phase correction to the semiclassical spin coherent-state propagator
Abstract
The problem of an origin of the Solary-Kochetov extra-phase contribution to the naive semiclassical form of a generalized phase-space propagator is addressed with the special reference to the su(2) spin case which is the most important in applications. While the extra-phase correction to a flat phase-space propagator can straightforwardly be shown to appear as a difference between the principal and the Weyl symbols of a Hamiltonian in the next-to-leading order expansion in the semiclassical parameter, the same statement for the semiclassical spin coherent-state propagator holds provided the Holstein-Primakoff representation of the su(2) algebra generators is employed.
Keywords
Cite
@article{arxiv.cond-mat/0304114,
title = {On the extra phase correction to the semiclassical spin coherent-state propagator},
author = {Mikhail Pletyukhov},
journal= {arXiv preprint arXiv:cond-mat/0304114},
year = {2015}
}
Comments
19 pages, no figures; a more general treatment is presented, some references are added, title is slightly changed; submitted to JMP