Recent two-photon photo-luminescence experiments give accurate data for the ground and first excited excitonic energies at different nanotube radii. In this paper we compare the analytic approximations proved in \cite{CDR}, with a standard variational approach. We show an excellent agreement at sufficiently small radii.
@article{arxiv.math-ph/0605014,
title = {Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes},
author = {Horia D. Cornean and Thomas G. Pedersen and Benjamin Ricaud},
journal= {arXiv preprint arXiv:math-ph/0605014},
year = {2008}
}
Comments
Accepted for publication in Contemporary Mathematics