A Gaussian quadrature formula for hypersingular integrals with second-order singularities is developed based on previous Gaussian quadrature formulae for Cauchy principal value integrals. The formula uses classical orthonormal polynomials, and the formula is then specialized to the case of Legendre
Evaluation of relativistic atomic integrals using perimetric coordinates
✍ Scribed by E. Ley-Koo; C. F. Bunge; R. Jáuregui
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 121 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Calais and Lowdin developed a simple method using the interelectronic distance as an ïntegration variable to treat two-electron integrals occurring in correlated nonrelativistic atomic calculations. This contribution merges their method with a related one to further evaluate two-body integrals occurring in relativistic configuration interaction calculations.
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