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Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes

Horia D. Cornean, Thomas G. Pedersen, Benjamin Ricaud

math-pharXiv:math-ph/0605014

Abstract

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 CDR, with a standard variational approach. We show an excellent agreement at sufficiently small radii.

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