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

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

2006-05-04

arxiv.org/abs/math-ph/0605014v2

Contemporary Mathematics 447 (2007) 45-55

Physics

Mathematical Physics

Accepted for publication in Contemporary Mathematics

Scientific paper

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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