1,744 research outputs found
Quantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach II
Extended Schwinger's quantization procedure is used for constructing quantum
mechanics on a manifold with a group structure. The considered manifold is
a homogeneous Riemannian space with the given action of isometry transformation
group. Using the identification of with the quotient space , where
is the isotropy group of an arbitrary fixed point of , we show that quantum
mechanics on possesses a gauge structure, described by the gauge
potential that is the connection 1-form of the principal fiber bundle . The coordinate representation of quantum mechanics and the procedure for
selecting the physical sector of states are developed.Comment: 18pages, no figures, LaTe
Electron-electron interaction in carbon nanostructures
The electron-electron interaction in carbon nanostructures was studied. A new
method which allows to determine the electron-electron interaction constant
from the analysis of quantum correction to the magnetic
susceptibility and the magnetoresistance was developed. Three types of carbon
materials: arc-produced multiwalled carbon nanotubes (arc-MWNTs), CVD-produced
catalytic multiwalled carbon nanotubes (c-MWNTs) and pyrolytic carbon were used
for investigation. We found that =0.2 for arc-MWNTs (before and
after bromination treatment); = 0.1 for pyrolytic graphite;
0 for c-MWNTs. We conclude that the curvature of graphene layers
in carbon nanostructures leads to the increase of the electron-electron
interaction constant .Comment: 12 pages, 18 figures, to be published in the Proceedings of the NATO
Advanced Research Workshop on Electron Correlation in New Materials and
Nanosystems, NATO Science Series II, Springer, 200
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