International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 411-415
doi:10.1155/S0161171295000524
Computations for a vibrating system diagonalize the variance
Department of Mathematical Sciences, Virginia Commonwealth University, Richmond 23284-2014, Virginia, USA
Received 11 August 1993; Revised 15 September 1993
Copyright © 1995 J. N. Boyd and P. N. Raychowdhury. 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.
Abstract
The transformations to diagonalize potential energy matrices for coupled harmonic
oscillators will also diagonalize the variance when written in matrix form. After a brief review of
a geometrical interpretation of the variance, the transformations are described and an example is
given.