Faraday effect revisited: sum rules and convergence issues
Mathematical Physics
2015-05-18 v2 Materials Science
math.MP
Abstract
This is the third paper of a series revisiting the Faraday effect. The question of the absolute convergence of the sums over the band indices entering the Verdet constant is considered. In general, sum rules and traces per unit volume play an important role in solid state physics, and they give rise to certain convergence problems widely ignored by physicists. We give a complete answer in the case of smooth potentials and formulate an open problem related to less regular perturbations.
Cite
@article{arxiv.1004.0108,
title = {Faraday effect revisited: sum rules and convergence issues},
author = {Horia D. Cornean and Gheorghe Nenciu},
journal= {arXiv preprint arXiv:1004.0108},
year = {2015}
}
Comments
Dedicated to the memory of our late friend Pierre Duclos. Accepted for publication in Journal of Physics A: Mathematical and Theoretical.