The Hamiltonian including the spin-orbit interaction can be written as:

The spin-orbit interaction is the primary source of magnetocrystalline anisotropy.

In the presence of spin-orbit interaction, total angular momentum should take part in.

The empirical values can be reproduced using the classical shell model with a strong spin-orbit interaction.

This is a result of the same spin-orbit interactions that make ununoctium unusually reactive.

Including the spin-orbit interaction, the Schrödinger equation for u is:

There, he studied the spin-orbit interaction in two-electron spectra.

We next include a spin-orbit interaction.

Due to the spin-orbit interaction the energies of states of the same level but with different j will no longer be identical.

However, the effect of a torque applied to an electron's magnetic moment must be considered in light of spin-orbit interaction.

There is an additional level splitting in the excited E state due to the orbital degeneracy and spin-orbit interaction.

The spin energy levels are not exactly degenerate in the absence of a magnetic field even for light atoms, because of the spin-orbit interaction.

Spin-orbit interaction of electrons measured.

When the magnetic-field perturbation significantly exceeds the spin-orbit interaction, one can safely assume .

The effect arises from the simultaneous action of magnetization and spin-orbit interaction and its detailed mechanism depends on the material.

If the spin-orbit interaction dominates over the effect of the external magnetic field, and are not separately conserved, only the total angular momentum is.

When the spin is nonzero, the spin-orbit interaction allows angular momentum to transfer from L to S or back.

In a real atom the spin interacts with the magnetic field created by the electron movement around the nucleus, a phenomenon known as spin-orbit interaction.

For an open shell molecule, when spin-orbit interaction is added to the , the dimensionality of seam space is reduced.

Due to the spin-orbit interaction in the atom, the orbital angular momentum no longer commutes with the Hamiltonian, nor does the spin.

This is both due to the negative spin-orbit interaction energy and to the reduction in energy resulting from deforming the potential to a more realistic one.

An example of how the atomic spin-orbit interaction influences the band structure of a crystal is explained in the article about Rashba interaction.

In atomic nuclei, the spin-orbit interaction is much stronger than for atomic electrons, and is incorporated directly into the nuclear shell model.

Transversal AMR (planar Hall effect) does not change sign and it is caused by spin-orbit interaction.

For instance, the orbit and spin of a single particle can interact through spin-orbit interaction, in which case the complete physical picture must include spin-orbit coupling.