Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis
arXiv:1507.07398 · doi:10.1016/j.jcp.2015.11.024
Abstract
A Galerkin method is developed to solve the time-dependent Dirac equation in prolate spheroidal coordinates for an electron-molecular two-center system. The initial state is evaluated from a variational principle using a kinetic/atomic balanced basis, which allows for an efficient and accurate determination of the Dirac spectrum and eigenfunctions. B-spline basis functions are used to obtain high accuracy. This numerical method is used to compute the energy spectrum of the two-center problem and then the evolution of eigenstate wavefunctions in an external electromagnetic field.
29 pages, 7 figures
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