English

On the geometry of the classical Rabi problem

Classical Physics 2019-10-08 v1

Abstract

We investigate the motion of a classical spin precessing around a periodic magnetic field using Floquet theory as well as elementary differential geometry and considering a couple of examples. Under certain conditions the r\^{o}le of spin and magnetic field can be interchanged, leading to the notion of "duality of loops" on the Bloch sphere.

Cite

@article{arxiv.1910.02444,
  title  = {On the geometry of the classical Rabi problem},
  author = {Heinz-Jürgen Schmidt},
  journal= {arXiv preprint arXiv:1910.02444},
  year   = {2019}
}
R2 v1 2026-06-23T11:35:38.321Z