Adiabatic geometric phases in hydrogenlike atoms

Erik Sjöqvist, X. X. Yi, and Johan Åberg

Phys. Rev. A 72, 054101 – Published 1 November 2005

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

Received 9 May 2005

DOI:https://doi.org/10.1103/PhysRevA.72.054101

Authors & Affiliations

Erik Sjöqvist^1,*, X. X. Yi^2,†, and Johan Åberg^1,‡

¹Department of Quantum Chemistry, Uppsala University, Box 518, Se-751 20 Uppsala, Sweden
²Department of Physics, Dalian University of Technology, Dalian 116024, China

^*Electronic address: eriks@kvac.uu.se
^†Electronic address: yixx@dlut.edu.cn
^‡Electronic address: johan.aberg@kvac.uu.se

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Issue

Vol. 72, Iss. 5 — November 2005

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Physical Review A

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