2002
DOI: 10.1088/0305-4470/35/36/308
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Relativistic precession and spin dynamics of an elliptic Rydberg wave packet

Abstract: 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… Show more

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Cited by 3 publications
(4 citation statements)
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“…The main relativistic effect is the appearance of the new time scale due to the spin-orbit coupling. As shown above this time scale can be much smaller for the radial WP than for previously discussed cases of circular [12] or elliptic [13] WP. This fact implies that in principle experimental observations of some spin-orbit effects may become possible with existing techniques.…”
Section: Discussionmentioning
confidence: 72%
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“…The main relativistic effect is the appearance of the new time scale due to the spin-orbit coupling. As shown above this time scale can be much smaller for the radial WP than for previously discussed cases of circular [12] or elliptic [13] WP. This fact implies that in principle experimental observations of some spin-orbit effects may become possible with existing techniques.…”
Section: Discussionmentioning
confidence: 72%
“…σ z t = n |w n | 2 a 2 − b 2 (2l + 1)(2l − 1) (2l + 1) 2 − b 2 8l (2l + 1) 2 cos (ω n t) , (13) where ω n = [(E + nl − E − nl )/ ]. The terms containing cos (ω n t) and sin (ω n t) indicate that in the beginning one can expect the spin precession followed by the spin collapse implied by nonlinear dependence of frequencies ω n on n. This behaviour is clearly seen in the Fig.…”
Section: Expectation Values Of Spin Operatorsmentioning
confidence: 99%
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