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arXiv · 0710.3408

Numerical solution of the radial Dirac equation in pseudopotential construction

Ondrej Certik
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Abstract

In the present work we study numerical solution of the radial Dirac equation in a specific case - ab-initio pseudopotential generating process - which is needed within the electronic structure calculations using a Density Functional Theory (DFT) combined with a pseudopotential method. We give a brief introduction to DFT, derive the radial Dirac and Schrodinger equations, show how to solve them both for a given energy and as an eigenvalue problem using a known asymptotic behavior of the solution. Next we compare the nonrelativistic and relativistic eigenvalues for one electron atom. Finally we state a few words about the computer implementation.

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Ondrej Certik. 2007-10-19. Numerical solution of the radial Dirac equation in pseudopotential construction. https://arxiv.org/abs/0710.3408

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