Accession Number : AD0700623

Title :   THE VARIATION METHOD AND THE ALGEBRAIC EIGENVALUE PROBLEM,

Corporate Author : YORK UNIV TORONTO (ONTARIO) CENTRE FOR RESEARCH IN EXPERIMENTAL SPACE SCIENCE

Personal Author(s) : Wallis,A. ; McElwain,D. L. S. ; Pritchard,H. O.

Report Date : 08 JAN 1969

Pagination or Media Count : 12

Abstract : The generalized algebraic eigenvalue problem (A - lambda B)x = O arises in the use of the variation method in quantum mechanics. If, within the limitations of the computer word-length, the basis set used to expand the trial wave function is linearly dependent, the matrix B becomes singular. Three different algorithms designed to deal with this difficulty have been investigated, paying special attention to the problem of identifying which members of the basis set are effectively linearly dependent. The advantages and limitations of each method are discussed. (Author)

Descriptors :   (*QUANTUM THEORY, WAVE FUNCTIONS), (*MATRICES(MATHEMATICS), NUMERICAL ANALYSIS), COMPUTER PROGRAMMING, ALGORITHMS, CANADA

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE