A short review on computational issues arising in relativistic atomic and molecular physics

This paper is a short review of computational issues arising when trying to compute electronic wave functions in atoms or molecules containing heavy nuclei. In this case, relativistic effects can play an important role and ad hoc models have to be used. The basic operator of this theories is the Dirac operator, which unlike th Schrödinger operator, is unbounded both from below. This feature creates dificulties both at the theoretical and the computational levels. In this review we discuss some of these issues. A much detailed review about this topic can be found in [7] .

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