Relativistic precession and spin dynamics of an elliptic Rydberg wave packet

Details Relativistic precession and spin dynamics of an elliptic Rydberg wave packet Relativistic precession and spin dynamics of an elliptic Rydberg wave packet

2002-01-05

arxiv.org/abs/quant-ph/0201015v2

J. Phys. A: Math. Gen. 35 (2002) 7803-7816

Physics

Quantum Physics

Latex2e, uses IOP style files (included), 10 pages, 5 jpg figures, 1 postscript figure. Relation between precession time and r

Scientific paper

10.1088/0305-4470/35/36/308

Time evolution of wave packets built from the eigenstates of the Dirac equation for a hydrogenic system is considered. We investigate the space and spin motion of wave packets which, in the non-relativistic limit, are stationary states with a probability density distributed uniformly along the classical, elliptical orbit (elliptic WP). We show that the precession of such a WP, due to relativistic corrections to the energy eigenvalues, is strongly correlated with the spin motion. We show also that the motion is universal for all hydrogenic systems with an arbitrary value of the atomic number Z.

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