1999/09/07 by M. Turek, P. Rozmej, R. Arvieu
Physics and Astronomy · #quant-ph
published as Acta Phys. Polon. B31 (2000) 517 · 4 pages, LaTeX2e (appolb.cls included). Presented at XXVI Mazurian Lakes School of Physics on Nuclear Physics at the Turn of the Century, Krzyze, Poland, September 1-11, 1999. To appear in Acta Phys. Polon. B (2000)
arxiv created 1999/09/07 · arxiv updated 2009/12/01
We discuss an extension of the theory of \em spin-orbit pendulum phenomenon given in [1] to relativistic approach. It is done within the so called Dirac Oscillator. Our first results, focusing on circular wave packet motion have been published recently [2]. The scope of this paper is motion of a linear wave packet. In relativistic approach we found \em Zitterbewegung in spin-orbit motion (in Dirac representation) due to coupling to negative energy states. This effect is washed out in the Foldy-Wouthuysen representation. Another important change with respect to non-relativistic case is the loss of periodicity. The phenomenon reminds the time evolution of population inversion in Jaynes-Cummings model.