Spin-Orbit Coupling in Semiclassical Approximation

doi:10.1006/aphy.1993.1011

Annals of Physics

Volume 221, Issue 2, February 1993, Pages 229-257

https://doi.org/10.1006/aphy.1993.1011 Get rights and content

Abstract

The spin-orbit coupling in a deformed system is studied by approximating the Schrödinger equation semiclassically. The discrete character of spin is preserved and WKB techniques are used for the coupled two-component wave equations. Thus, contrary to other approaches, spin is not treated similar to a classical angular momentum. Information about the periodic orbits is extracted from Fourier transform of the quantum mechanical spectra and compared to classical calculations. Planar motion exhibiting mode conversion and non-planar motion, for which Berry′s phase is important, are investigated. For planar orbits, the semiclassical method is successfully corrected for mode conversion.

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Cited by (44)

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Citation Excerpt :
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Annals of Physics

Regular ArticleSpin-Orbit Coupling in Semiclassical Approximation

Abstract

Mechanical analogues of spin Hamiltonians and dynamics

Semiclassical limits for the QCD Dirac operator

Thomas-Fermi theory for atomic nuclei revisited

Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect

Topological effects of a disclination on quantum revivals

Nonmonotonic quantum phase gathering in curved spintronic circuits

Regular Article
Spin-Orbit Coupling in Semiclassical Approximation