Correction spin-orbit Zeeman gauge

In this Hamiltonian (5) corresponds to the orbital angular momentum interacting with the external magnetic field, (6) represents the diamagnetic (second-order) response of the electrons to the magnetic field, (7) represents the interaction of the nuclear dipole with the electronic orbital motion, (8) is the electronic-nuclear Zeeman correction, the two terms in (9) represent direct nuclear dipole-dipole and electron coupled nuclear spin-spin interactions. The terms in (10) are responsible for spin-orbit and spin-other-orbit interactions and the terms in (11) are spin-orbit Zeeman gauge corrections. Finally, the terms in (12) correspond to Fermi contact and dipole-dipole interactions between the spin magnetic moments of nucleus N and an electron. Since... 

HA5a) 4 0 8 Ge)( ext) rGe) XNe ext)] spin-orbit Zeeman gauge correction... 

This can be split into the external field ext( ) = (l/2)(5ext x rGi) and the internal dipolar field AN(rt) = (pL0/4n)r (pLN x rNi) contributions. The term containing the external field represents the electron-electron spin-orbit Zeeman gauge correction... 

The external vector potential Aext(r,) = (l/2)(.Bext x rGi), for a uniform magnetic field, gives the spin-other orbit Zeeman gauge correction term... 

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