Accession Number:

AD0462321

Title:

A NEW EQUATION FOR LOWER BOUNDS TO EIGENVALUES WITH APPLICATION TO THE HELIUM ATOM.

Descriptive Note:

Technical rept.,

Corporate Author:

HARVARD UNIV CAMBRIDGE MA MALLINCKRODT LAB

Personal Author(s):

• Miller, William H.

Report Date:

1965-02-08

Pagination or Media Count:

4.0

Abstract:

There is currently considerable interest in lower bound procedures based on the method of intermediate Hamiltonians. The method relies on a theorem which states that if the hermitian operators A and B satisfy the inequality AB, then their ordered eigenvalues respectively satisfy the same inequality. Thus to find lower bounds to the eigenvalues of a Hamiltonian H, we must find a comparison operator H to the l power, such that H to the l power less than or equal to H, and such that H to the l power is simple enough for its eigenvalue problem to be solved. Author

Descriptors:

• *HELIUM
• NUMERICAL METHODS AND PROCEDURES
• ATOMS
• THEOREMS
• INEQUALITIES
• EQUATIONS
• FUNCTIONS(MATHEMATICS)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE