Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches

Details Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches

2002-02-13

arxiv.org/abs/nlin/0202028v3

J.Phys.A35:6009-6032,2002

Nonlinear Sciences

Chaotic Dynamics

LaTeX2e, 25 pages incl. 9 figures, version 3: final version in print for J. Phys. A

Scientific paper

10.1088/0305-4470/35/29/306

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.

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