Dual Kinetic Balance Approach to Basis-Set Expansions for axially symmetric Dirac equation

摘要

The study of the interaction of highly charged ions with laser fields requires solving the time-dependent Dirac equation. The Dual Kinetic Balance (DKB) technique enables one to eliminate the spurious states occurring in the numerical solutions of the Dirac equation obtained with finite basis set methods. Initially developed for the radial Dirac equation, here the DKB method is generalized to the three-dimensional systems with the axial symmetry. Efficiency of the method is demonstrated by calculating the spectra of hydrogenlike ions and the ionization probability of a H-like ion by a laser pulse.