title: Dual kinetic balance approach to basis-set expansions for the dirac equation.
abstract: A new approach to finite basis sets for the Dirac equation is developed. It does not involve spurious states and improves the convergence properties of basis-set calculations. 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.
authors.affiliation: Department of Physics, St. Petersburg State University, Oulianovskaya 1, Petrodvorets, St. Petersburg 198504, Russia.
authors.forename: V M
authors.initials: VM
authors.lastname: Shabaev
authors.forename: I I
authors.initials: II
authors.lastname: Tupitsyn
authors.forename: V A
authors.initials: VA
authors.lastname: Yerokhin
authors.forename: G
authors.initials: G
authors.lastname: Plunien
authors.forename: G
authors.initials: G
authors.lastname: Soff