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arxiv: math-ph/0605014 · v2 · submitted 2006-05-04 · 🧮 math-ph · cond-mat.mes-hall· math.MP

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

classification 🧮 math-ph cond-mat.mes-hallmath.MP
keywords radiivariationalaccurateagreementanalyticapproachapproximationscarbon
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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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