My 2 cents to this: Not a particularly meaningful question.
The only meaningful thing about energies, as in eigenvalues of the Hamiltonian, is their DIFFERENCE. The evolution with time of the state of an isokated quantum system (Schrödinger picture) is completely governed by the differences of the eigenvalues of the Hamiltonian. The choice of where you put zero is up to you.
A common choice for zero is the ground state energy of the Hamiltonian. In this case clearly zero is zero, there is no effect of SO.
Other choices are more practical in various circumstances: The mean of the spektrum of the Hamiltonian, or the Fermi energy (definition discussed recently here), or some fictitious reference limit like the state with all charges at infinite distance ... The ground state energy then probably will depend on whether or not you put SO into your Hamiltonian. After all you consider SO because it changes energy differences and might split degeneracies.
--- Dr. Martin Pieper Karl-Franzens University Institute of Physics Universitätsplatz 5 A-8010 Graz Austria Tel.: +43-(0)316-380-8564 Am 29.10.2016 23:20, schrieb Abderrahmane Reggad:
Hello again I am waiting for an answer to my question . My question is about the effect of the inclusion of the Spin-Orbit Coupling on the ground state energy. I want to know if the SO affect the ground state energy also or It only causes the splitting of the degenerate state energies. Any information will be fruitful for me. I hope find an answer to my question -- Mr: A.Reggad Laboratoire de Génie Physique Université Ibn Khaldoun - Tiaret Algerie _______________________________________________ Wien mailing list Wien@zeus.theochem.tuwien.ac.at http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien SEARCH the MAILING-LIST at: http://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/index.html
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