I am reading an article on Arxiv about modelling the electron structure in a nanowire crystal: http://arxiv.org/abs/1511.08044(adsbygoogle = window.adsbygoogle || []).push({});

But I am having trouble understanding the hamiltonians (1) and (2).

In (1) what is the purpose of the term E_gap/2. Is that just a reference point for the energy or something?

In (2) why does the spin orbit term look like it does? In my world spin orbit is something likeS⋅L, i.e. a coupling between the orbital angular momentum of the nucleus and the spin of the electrons. Is that what the terms describes?

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# Hamiltonian constant term

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