Angular integrals and radial recurrence relations for two-electron matrix elements in Hylleraas coordinates

Authors

Gordon W. F. Drake, University of WindsorFollow

Document Type

Article

Publication Date

1978

Publication Title

Physical Review A

Volume

18

Issue

3

First Page

820

Last Page

826

Abstract

General formulas are obtained for the reduction of a wide class of two-electron matrix elements in Hylleraas coordinates to finite sums of radial integrals for states of arbitrary angular momentum. Multipole transition integrals and the Breit interaction are treated as special cases. A number of recurrence relations are derived for radial integrals containing PL(cosθ) (where cosθ=r^1•r^2) in terms of radial integrals containing lower-order Legendre polynomials. The results are well suited to computer implementation. © 1978 The American Physical Society.

Comments

copyright American Physical Society http://dx.doi.org/10.1103/PhysRevA.18.820

Recommended Citation

Drake, Gordon W. F.. (1978). Angular integrals and radial recurrence relations for two-electron matrix elements in Hylleraas coordinates. Physical Review A, 18 (3), 820-826.
https://scholar.uwindsor.ca/physicspub/102