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Adiabatic geometric phases in hydrogenlike atoms

Erik Sjöqvist·X. X. Yi·J. Åberg
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Abstract

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 limit are analyzed. We point out the existence of nodal points in the marginal phases that may be detected by topological means.

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Erik Sjöqvist, X. X. Yi, J. Åberg. 2005-05-09. Adiabatic geometric phases in hydrogenlike atoms. https://doi.org/10.1103/physreva.72.054101

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