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Spin-orbit pendulum - Relativistic extension

M. Turek·P. Rozmej·R. Arvieu
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Abstract

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.

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M. Turek, P. Rozmej, R. Arvieu. 1999-09-07. Spin-orbit pendulum - Relativistic extension. https://arxiv.org/abs/quant-ph/9909023

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