Document Type
Article
Original Publication Date
1980
Journal/Book/Conference Title
International Journal of Mathematics and Mathematical Sciences
Volume
3 (1980)
Issue
3
DOI of Original Publication
10.1155/S0161171280000427
Date of Submission
August 2014
Abstract
After a brief review of matrix representations of finite abelian groups, projection operators are defined and used to compute symmetry coordinates for systems of coupled harmonic oscillators. The Lagrangian for such systems is discussed in the event that the displacements along the symmetry coordinates are complex. Lastly, the natural frequencies of a linear, diatomic crystal are determined through application of the Born cyclic condition and the determination of the symmetry coordinates.
Rights
Copyright © 1980 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Is Part Of
VCU Mathematics and Applied Mathematics Publications
Comments
Originally published at http://dx.doi.org/10.1155/S0161171280000427