A group theoretic approach to generalized harmonic vibrations in a one dimensional lattice

Beginning with a group theoretical simplification of the equations of motion for harmonically coupled point masses moving on a fixed circle, we obtain the natural frequencies of motion for the array. By taking the number of vibrating point masses to be very large, we obtain the natural frequencies o...

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Bibliographic Details
Main Authors: J. N. Boyd, P. N. Raychowdhury
Format: Article
Language:English
Published: Wiley 1986-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171286000169
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