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

Comments

Originally published at http://dx.doi.org/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

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