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

Ch. Amann·M. Brack
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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.

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Ch. Amann, M. Brack. 2002-07-05. Semiclassical trace formulae for systems with spin-orbit interactions: successes and limitations of present approaches. https://doi.org/10.1088/0305-4470%2F35%2F29%2F306

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