Accession Number:

AD0296035

Title:

A STUDY OF ONE AND TWO ELECTRON CENTRAL FORCE PROBLEMS USING THE HYPERVIRIAL THEOREM

Descriptive Note:

Corporate Author:

WISCONSIN UNIV-MADISON THEORETICAL CHEMISTRY INST

Personal Author(s):

• GORDON, SIDNEY L.

Report Date:

1963-01-10

Pagination or Media Count:

25.0

Abstract:

The hypervirial theorem is used to develop expectation value relationships for one and two electron central force problems. Ground state helium trial functions are scaled to identically satisfy a particular family of these relationships. It is show that this procedure results in improved expectation values for positive powers of the radial coordinate.

Descriptors:

• *OPERATORS(MATHEMATICS)
• *FUNCTIONS(MATHEMATICS)
• *ELECTRONS
• *QUANTUM THEORY
• ATOMIC ORBITALS
• REAL VARIABLES
• HYDROGEN COMPOUNDS
• ATOMIC PROPERTIES
• OSCILLATORS
• ATOMS
• THEORY
• KINETIC THEORY
• POTENTIAL THEORY

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE