Geodesic
Studying the~properties of carbon nanotubes with the~functional integration method
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 127-144

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We obtain an exact, closed, self-consistent system of equations for describing nanotubes that takes electron and oscillation subsystems in the collective variables into account. Collective excitations in nanotubes are described by the quantum numbers $n$, $m$, and $k$, where $n$ – $1$ is the number of radial modes, $m$ is the number of azimuthal modes, and $k$ – $1$ is the number of longitudinal modes of the wave function. The results obtained approximate the experimental data better than those obtained by the method of linear combinations of atomic orbitals.
Keywords: nanotube, superconductivity, delayed ionization, electrical properties of nanostructures, magnetic properties of nanostructures, nanomaterial structure. 
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     author = {R. F. Akhmet'yanov and V. O. Ponomarev and O. A. Ponomarev and E. S. Shikhovtseva},
     title = {Studying the~properties of carbon nanotubes with the~functional integration method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_149_1_a9/}
}
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R. F. Akhmet'yanov; V. O. Ponomarev; O. A. Ponomarev; E. S. Shikhovtseva. Studying the~properties of carbon nanotubes with the~functional integration method. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 127-144. http://geodesic.mathdoc.fr/item/TMF_2006_149_1_a9/