Twoparticle atomic coalescences: Boundary conditions for the Fock coefficient components
Abstract
The exact values of the presently determined components of the angular Fock coefficients at the twoparticle coalescences were obtained and systematized. The Green'sfunction approach was successfully applied to simplify the most complicated calculations. The boundary conditions for the Fock coefficient components in hyperspherical angular coordinates, which follow from the Kato cusp conditions for the twoelectron wave function in the natural interparticle coordinates, were derived. The validity of the obtained boundary conditions was verified with examples of all the presently determined components. The additional boundary conditions not arising from the Kato cusp conditions were obtained as well. Wolfram's Mathematica was used extensively to obtain these results.
 Publication:

Physical Review A
 Pub Date:
 August 2016
 DOI:
 10.1103/PhysRevA.94.022506
 arXiv:
 arXiv:1605.00222
 Bibcode:
 2016PhRvA..94b2506L
 Keywords:

 Physics  Atomic Physics;
 Mathematical Physics;
 Physics  Computational Physics
 EPrint:
 26 pages, 2 figures