Separation Theorem for Degenerate Eigenvalues
- 1 September 1960
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 33 (3) , 781-783
- https://doi.org/10.1063/1.1731261
Abstract
An algebraic theorem concerning the separation of the eigenvalues of a matrix is discussed for degenerate eigenvalues in variation calculations. It is shown that the occurrence of degenerate eigenvalues in a given approximation does not prevent the application of the theorem to the determination of upper bounds for exact eigenvalues in physical problems.Keywords
This publication has 3 references indexed in Scilit:
- Successive Approximations by the Rayleigh-Ritz Variation MethodPhysical Review B, 1933
- Numerische Berechnung der 2S-Terme von Ortho- und Par-HeliumThe European Physical Journal A, 1930
- On the Separation Property of the Roots of the Secular EquationAmerican Journal of Mathematics, 1930