Dual Kinetic Balance Approach to the Dirac Equation for Axially Symmetric Systems: Application to Static and Time-Dependent Fields

摘要

Dual kinetic balance (DKB) technique was previously developed to eliminatespurious states in the finite-basis-set-based solution of the Dirac equation incentral fields. In the present paper, it is extended to the Dirac equation forsystems with axial symmetry. The efficiency of the method is demonstrated bythe calculation of the energy spectra of hydrogenlike ions in presence ofstatic uniform electric or magnetic fields. In addition, the DKB basis set isimplemented to solve the time-dependent Dirac equation making use of thesplit-operator technique. The excitation and ionization probabilities for thehydrogenlike argon and tin ions exposed to laser pulses are evaluated.