Accession Number:

AD0415127

Title:

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

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON THEORETICAL CHEMISTRY INST

Personal Author(s):

Report Date:

1963-06-10

Pagination or Media Count:

35.0

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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE