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
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Dirac equation: H D <strong>and</strong> are 4-dimensionalFor a free particle (i.e. V = 0):Solution in the slowparticle limit (p=0)Non-relativistic limitdecouples 1 from 2<strong>and</strong> 3 from 42 mec 0ˆ pzpˆ ipˆzc m e2 0 , 0 0 ypˆ0 m czpˆ2 ipˆParticles: up & downze 0 2 m ec , 0 0 y pˆz pˆ ˆzip2 mec0c m ey2pˆ 0 0 , 0 xpˆ ipˆ0z m ce2y1234 0 2 0m ec , 0 0Antiparticles: up & downFor a spherical potential V(r): igfnn r r g n <strong>and</strong> f n are Radial functionsY are angular-<strong>spin</strong> functionsj l s 2 sj 1 2s 1,1
Change language