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American Journal of Physics

Spin-orbit term in hydrogenlike atoms

V. V. Dixit, L. P. S. Singh

Published May 1, 1980• 3 citations
Publisher
DOI
10.1119/1.12100

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We examine the effect of spin-orbit coupling on geometric phases in hydrogenlike atoms exposed to a slowly varying magnetic field. The marginal geometric phases associated with the orbital angular momentum and the intrinsic spin fulfill a sum rule that explicitly relates them to the corresponding geometric phase of the whole system. The marginal geometric phases in the Zeeman and Paschen-Back limits are analyzed. We point out the existence of nodal points in the marginal phases that may be detected by topological means.