Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches
Chaotic Dynamics
2008-11-26 v3 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Nuclear Theory
Abstract
We discuss the semiclassical approaches for describing systems with spin-orbit interactions by Littlejohn and Flynn (1991, 1992), Frisk and Guhr (1993), and by Bolte and Keppeler (1998, 1999). We use these methods to derive trace formulae for several two- and three-dimensional model systems, and exhibit their successes and limitations. We discuss, in particular, also the mode conversion problem that arises in the strong-coupling limit.
Keywords
Cite
@article{arxiv.nlin/0202028,
title = {Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches},
author = {Ch. Amann and M. Brack},
journal= {arXiv preprint arXiv:nlin/0202028},
year = {2008}
}
Comments
LaTeX2e, 25 pages incl. 9 figures, version 3: final version in print for J. Phys. A