Relativistic effects, spin-orbit coupling and non-collinear ... - WIEN 2k
Relativistic effects, spin-orbit coupling and non-collinear ... - WIEN 2k
Relativistic effects, spin-orbit coupling and non-collinear ... - WIEN 2k
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Dirac equation in a spherical potentialScalar relativistic approximationApproximation that the <strong>spin</strong>-<strong>orbit</strong> term is small neglect SOC in radial functions (<strong>and</strong> treat it by perturbation theory)g ~~No SOC Approximate radial functions:f n f1 ddr~ dg~222 2 nl r Vg~2 2 nl2 22Mer dr 2Mer 4Mecdg~2M c drl l 1ng nldVdrdg~drnl ' g~nl<strong>and</strong> fnlwith the normalization condition: ~ 2 2 2 gnl fnlrdr 1enlnl~