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

Publikation: Bog/antologi/afhandling/rapportRapportForskning

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Resumé

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.

OriginalsprogEngelsk
Udgivelses stedAalborg
ForlagDepartment of Mathematical Sciences, Aalborg University
Antal sider10
StatusUdgivet - 2007
NavnResearch Report Series
NummerR-2007-12
ISSN1399-2503

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Nanotubes
Variational Methods
Perturbation Theory
Carbon
Radius
Photoluminescence
Variational Approach
Photon
Approximation
Energy
Experiment
Standards

Citer dette

Cornean, H., Pedersen, T. G., & Ricaud, B. (2007). Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes. Aalborg: Department of Mathematical Sciences, Aalborg University. Research Report Series, Nr. R-2007-12
Cornean, Horia ; Pedersen, Thomas Garm ; Ricaud, Benjamin. / Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes. Aalborg : Department of Mathematical Sciences, Aalborg University, 2007. 10 s. (Research Report Series; Nr. R-2007-12).
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title = "Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes",
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.",
author = "Horia Cornean and Pedersen, {Thomas Garm} and Benjamin Ricaud",
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language = "English",
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Cornean, H, Pedersen, TG & Ricaud, B 2007, Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes. Research Report Series, nr. R-2007-12, Department of Mathematical Sciences, Aalborg University, Aalborg.

Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes. / Cornean, Horia; Pedersen, Thomas Garm; Ricaud, Benjamin.

Aalborg : Department of Mathematical Sciences, Aalborg University, 2007. 10 s. (Research Report Series; Nr. R-2007-12).

Publikation: Bog/antologi/afhandling/rapportRapportForskning

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Cornean H, Pedersen TG, Ricaud B. Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes. Aalborg: Department of Mathematical Sciences, Aalborg University, 2007. 10 s. (Research Report Series; Nr. R-2007-12).