Document Type
Article
Original Publication Date
1991
Journal/Book/Conference Title
International Journal of Mathematics and Mathematical Sciences
Volume
14
DOI of Original Publication
10.1155/S0161171291000480
Date of Submission
September 2014
Abstract
A unitary transformation obtained from group theoretical considerations is applied to the problem of finding the resonant frequencies of a system of coupled LC-circuits. This transformation was previously derived to separate the equations of motion for one dimensional mechanical lattices. Computations are performed in matrix notation. The electrical system is an analog of a pair of coupled linear lattices. After the resonant frequencies have been found, comparisons between the electrical and mechanical systems are noted.
Rights
Copyright © 1991 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/S0161171291000480