Title

Tests of cusp conditions and integral recursion relations for helium wave functions.

Date of Award

2004

Degree Type

Thesis

Degree Name

M.Sc.

Department

Physics

First Advisor

Drake, G.

Keywords

Physics, Atomic.

Rights

CC BY-NC-ND 4.0

Abstract

The aim of this work is to apply the Kato cusp conditions to Hylleraas type variational wave functions and to test the numerical stability of the integral recursion relations for helium and helium-like ions. The Kato cusp conditions are applied from helium (Z = 2) up to argon (Z = 18), then the exact cusp values are compared with the cusp values from two basis set and three basis set Hylleraas type wave functions. Integral recursion relations are calculated for different powers of r1, r2, and r 12 and also for different nonlinear parameters (alpha, beta).Dept. of Physics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis2004 .I535. Source: Masters Abstracts International, Volume: 43-01, page: 0225. Adviser: G. W. F. Drake. Thesis (M.Sc.)--University of Windsor (Canada), 2004.