Perturbative vs. variational methods in the study of carbon nanotubes

Horia Cornean; Thomas Garm Pedersen; Benjamin Ricaud

Perturbative vs. variational methods in the study of carbon nanotubes

Horia Cornean, Thomas Garm Pedersen, Benjamin Ricaud

Research output: Contribution to book/anthology/report/conference proceeding › Book chapter › Research

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.

Original language	English
Title of host publication	Contemporary Mathematics
Editors	Dennis Deturck
Number of pages	11
Volume	447
Publisher	American Mathematical Society
Publication date	2007
Pages	45-55
ISBN (Print)	9780821842416
Publication status	Published - 2007

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title = "Perturbative vs. variational methods in the 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",

year = "2007",

language = "English",

isbn = "9780821842416",

volume = "447",

pages = "45--55",

editor = "Dennis Deturck",

booktitle = "Contemporary Mathematics",

publisher = "American Mathematical Society",

address = "United States",

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T1 - Perturbative vs. variational methods in the study of carbon nanotubes

AU - Cornean, Horia

AU - Pedersen, Thomas Garm

AU - Ricaud, Benjamin

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

M3 - Book chapter

SN - 9780821842416

VL - 447

SP - 45

EP - 55

BT - Contemporary Mathematics

A2 - Deturck, Dennis

PB - American Mathematical Society

ER -