[Wien] questions about ORB

vahid ghanbarian ghanbarian83 at gmail.com
Wed Dec 7 21:41:01 CET 2005


Dear Dr. Novak,

Thank you very much for your last replying.
In your first email, you wrote:
Orbital field brings in Hamiltonian term linear in orbital momentum:
B_orb.L, without spin-orbit coupling such term is incompatible with the
space inversion symmetry.
We know
P|l,m>=(-1) ^ l |l,m>
 where P=Parity.

So that we can write:

P Vorb = P SUM_m SUM_m' Cmm' |l,m><l,m'| = (-1) ^ l Vorb =Vorb P à[P,Vorb]=0

Because this, I can not understand why is Vorb incompatible with space
inversion symmetry, and how dose the real version of LAPW1 eliminate some
term of Vorb (B_orb.L) automatically?



Best regards

Vahid Ghanbarian
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