Relativistic precession of quantum elliptical states in the Coulomb potential

Details Relativistic precession of quantum elliptical states in the Coulomb potential Relativistic precession of quantum elliptical states in the Coulomb potential

2001-01-17

arxiv.org/abs/quant-ph/0101086v2

Physics

Quantum Physics

10 pages, 3 figures, submitted to Am.J.Phys, revised for style, improved figures

Scientific paper

10.1119/1.1397455

A special relativistic perturbation to non-relativistic quantum mechanics is
shown to lead to the special relativistic prediction for the rate of precession
for quantum states in the Coulomb potential. This behavior is shown using SO(4)
coherent states as examples. These states are localized on Kepler ellipses and
precess in the presence of a relativistic perturbation.

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