Extended Hylleraas three-electron integral

Details Extended Hylleraas three-electron integral Extended Hylleraas three-electron integral

2005-01-19

arxiv.org/abs/physics/0501100v1

Physics

Atomic Physics

Submited to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.71.032514

A closed form expression for the three-electron Hylleraas integral involving
the inverse quadratic power of one inter-particle coordinate is obtained, and
recursion relations are derived for positive powers of other coordinates. This
result is suited for high precision calculations of relativistic effects in
lithium and light lithium-like ions.

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