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Spin-orbit pendulum in Dirac oscillator

arXiv:quant-ph/0105021

Abstract

The dynamics of wavepackets in a relativistic Dirac oscillator (DO) is considered. A comparison to nonrelativistic spin-orbit pendulum effect is discussed. Particular relativistic effects, like Zitterbewegung in spin motion, are found in Dirac representation. This trembling motion disappears in Foldy-Wouthuysen representation. A substantial difference between the dynamics of wavepackets corresponding to circular and linear orbits of a particle is obtained and discussed.

LaTeX2e, 12 pages, 3 postscript figures, 6 jpeg figures