Accession Number : AD0658377

Title :   TRUNCATIONS IN THE METHOD OF INTERMEDIATE PROBLEMS FOR LOWER BOUNDS TO EIGENVALUES,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Brazley,Norman W. ; Fox,David W.

Report Date : 11 JAN 1961

Pagination or Media Count : 24

Abstract : The paper gives two new procedures for determining lower bounds to eigenvalues of semi-bounded self-adjoint operators. These procedures, while phrased in the language of Hilbert space, result in useful computational methods for the estimation of eigenvalues and eigenvectors of differential operators occurring in classical and quantum mechanics. Our procedures are based on the method of intermediate problems.

Descriptors :   (*OPERATORS(MATHEMATICS), HILBERT SPACE), (*MATRICES(MATHEMATICS), OPERATORS(MATHEMATICS)), INEQUALITIES, SEQUENCES(MATHEMATICS), QUANTUM THEORY, VECTOR SPACES, THEOREMS

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE