DISTRIBUTION OF EIGENVALUES AND EIGENVECTORS OF CHAIN MOLECULES CONTAINING RANDOM DEFECTS.

Abstract

In a previous $work^{1}$ Dean's negative eigenvalue theorem has been used to compute the distribution of eigenvalues of a chain molecule containing randomly distributed mass defects. The method has been extended to conformational $defects^{2}$ and, in the present work, to force constant defects. For a better understanding of the molecular dynamics of the chain, we have also applied the Givens-House-holder's method which allows to obtain the distribution of eigenvectors corresponding to approximate eigenvalues of very large matrices.