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
J.N. Boyd
and P.N. Raychowdhury
Department of Mathematical Sciences, Virginia Commonwealth University, Richmond 23284-2014, Virginia, USA
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.