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

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Horia D. Cornean, Thomas G. Pedersen, Benjamin Ricaud. 2007-05-02. Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes. https://arxiv.org/abs/math-ph/0605014

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