Accession Number : AD0415127

Title :   HYPERVIRIAL FUNCTIONS AND THE POSITIVE POWERS OF THE RADIAL COORDINATE OPERATOR IN HE AND H(-),

Corporate Author : WISCONSIN UNIV MADISON THEORETICAL CHEMISTRY INST

Personal Author(s) : Gordon,S. L.

Report Date : 10 JUN 1963

Pagination or Media Count : 35

Abstract : Ground state He and H(-) trial functions are scaled to satisfy the hypervirial relations generated by a family of hypervirial operators. These one-parameter hypervirial functions are used to calculate expectation values of positive powers of the radial coordinate operators. The values are also calculated through first order using the perturbation techniques of Dalgarno and coworkers. The perturbation treatment gives excellent results for He, but is ineffective for H(-). The hypervirial theorem is used to develop a variety of expectation value relationships for one and two electron central force problems. (Author)

Descriptors :   (*HELIUM, ATOMIC PROPERTIES), (*HYDROGEN, ATOMIC PROPERTIES), (*ELECTRONS, PARTICLE TRAJECTORIES), (*PERTURBATION THEORY, ATOMIC PROPERTIES), ATOMS, PARTIAL DIFFERENTIAL EQUATIONS, IONS, EXCITATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE