Accession Number:

AD0839570

Title:

THE USE OF MOMENTS IN ESTIMATING THE SPECTRUM.

Descriptive Note:

Technical rept.,

Corporate Author:

OFFICE OF NAVAL RESEARCH LONDON (UNITED KINGDOM)

Personal Author(s):

• Stakgold, Ivar

Report Date:

1968-08-22

Pagination or Media Count:

24.0

Abstract:

Error bounds for the eigenvalues and eigenfunctions of a self-adjoint operator A are obtained in terms of Az,z and Az,Az, the first two moments of a probability distribution generated by the trial element z. Lower bounds for certain quantum-mechanical expectation values are also calculated. Recent European contributions are featured. Author

Descriptors:

• *OPERATORS(MATHEMATICS)
• QUANTUM THEORY
• HILBERT SPACE
• PARTIAL DIFFERENTIAL EQUATIONS
• BOUNDARY VALUE PROBLEMS
• INEQUALITIES
• THEOREMS
• UNITED KINGDOM

Subject Categories:

• Theoretical Mathematics
• Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE