With spin-orbit coupling you have 2D degenerate eigenstates.
This means you have 2 solutions with the same eigenvalue and as you may
recall, any linear combination of 2 such solutions are again a solution.
Thus the eigensolver forms 2 "arbitrary" wavefunctions, only obeying the
above
Thank you
Ciao
Gerhard
DEEP THOUGHT in D. Adams; Hitchhikers Guide to the Galaxy:
"I think the problem, to be quite honest with you,
is that you have never actually known what the question is."
Dr. Gerhard H. Fecher
Institut of Physics
Johannes Gutenberg -
I crosschecked lopw.f again.
It has a remark about an "experimental check", that not only the Overlap
matrix elements including phase factors are orthogonal, but already the
K-vectors are not linear dependent. The latter is a much faster check,
but maybe too restrictive.
When I remove this
Dear Gerhard,
This is (at least for me) a well known behavior.
We attach to each local orbital a fictitious plane wave with a k-vector
K. In addition we require that LOs are orthogonal to each other and this
requirement becomes a problem if you have many equivalent atoms (8 Ga in
your case)
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