Generalized Bloch states and potentials of nanotubes and other quasi-1D systems II

A generalized Bloch theorem for systems with line group symmetry (e.g., nanotubes, stereo-regular polymers, quasi-one-dimensional crystals) shows that single-particle eigenfunctions are essentially composed of two factors: a function which is invariant under the symmetry transformations and a functi...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2009-03, Vol.42 (12), p.125202-125202 (9)
Main Authors: Dakic, B, Damnjanovic, M, Milosevic, I
Format: Article
Language:English
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Summary:A generalized Bloch theorem for systems with line group symmetry (e.g., nanotubes, stereo-regular polymers, quasi-one-dimensional crystals) shows that single-particle eigenfunctions are essentially composed of two factors: a function which is invariant under the symmetry transformations and a function which determines the symmetry of the state. Here we derive the representative functions for all irreducible representations of the line groups.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/42/12/125202