Dual kinetic balance approach to basis set expansions for the Dirac equation

Physics – Atomic Physics

Scientific paper

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14 pages, 1 table

Scientific paper

10.1103/PhysRevLett.93.130405

A new approach to finite basis sets for the Dirac equation is developed. It
solves the problem of spurious states and, as a result, improves the
convergence properties of basis set calculations. The efficiency of the method
is demonstrated for finite basis sets constructed from B splines by calculating
the one-loop self-energy correction for a hydrogenlike ion.

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