Adiabatic geometric phases in hydrogenlike atoms

Details Adiabatic geometric phases in hydrogenlike atoms Adiabatic geometric phases in hydrogenlike atoms

2005-05-09

arxiv.org/abs/quant-ph/0505058v2

Phys. Rev. A 72, 054101 (2005)

Physics

Quantum Physics

Clarifying material added, one figure removed, journal reference added

Scientific paper

10.1103/PhysRevA.72.054101

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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