Dual kinetic balance approach to basis set expansions for the Dirac equation
V. M. Shabaev, I. I. Tupitsyn, V. A. Yerokhin, G. Plunien, G. Soff
Abstract
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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