Semiclassical trace formulae for systems with spinndashorbit interactions: successes and limitations of present approaches

2002/02/28 by Ch. Amann, M. Brack · 3 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #cond-mat.mes-hall #math-ph #math.MP #nlin.CD #nlin.SI #nucl-th

paper · pdf · doi:10.1088/0305-4470/35/29/306

published as J.Phys.A35:6009-6032,2002 · LaTeX2e, 25 pages incl. 9 figures, version 3: final version in print for J. Phys. A

arxiv created 2002/07/05 · openalex publication_date 2002/07/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We discuss the semiclassical approaches for describing systems with spin–orbit interactions. We use these methods to derive trace formulae for several two- and three-dimensional model systems, and exhibit their successes and limitations. We also discuss, in particular, the mode conversion problem that arises in the strong-coupling limit.

Citations

• Bifurcations of periodic orbits and uniform approximations
• Oscillatory effects and the magnetic susceptibility of carriers in inversion layers
• Semiclassical approximations in wave mechanics
• Level clustering in the regular spectrum

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