English

Adiabatic geometric phases in hydrogenlike atoms

Quantum Physics 2016-08-16 v2

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.

Keywords

Cite

@article{arxiv.quant-ph/0505058,
  title  = {Adiabatic geometric phases in hydrogenlike atoms},
  author = {Erik Sjöqvist and X. X. Yi and J. Åberg},
  journal= {arXiv preprint arXiv:quant-ph/0505058},
  year   = {2016}
}

Comments

Clarifying material added, one figure removed, journal reference added

R2 v1 2026-07-22T19:48:59.188Z