Amann, Christian and Brack, Matthias
Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches.
Journal of Physics A 35 (29), pp. 6009-6032.
Other URL: http://www.iop.org/EJ/abstract/0305-4470/35/29/306
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.