In L. I. Schiff book, one can follow his derivation of the Hamiltonian from Dirac relativistic equation and obtain the following..(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\left[\frac{\vec{p}^2}{2m}+V-\frac{\hbar^2}{4m^{2}c^{2}}\frac{dV}{dr}\frac{\partial}{\partial r}+\frac{1}{2m^{2}c^{2}}\frac{1}{r}\frac{dV}{dr}\vec{S}\cdot \vec{L}\right]\Psi_{2}=E'\Psi_{2}

[/tex]

where [tex]\vec{S}=(\hbar/2)\vec{\sigma}[/tex] and [tex]\vec{L}=\vec{r}\times \vec{p}[/tex].

He mentioned in his text that the third term is a result of relativistic correction to the potential energy. He also comment that this term is more difficult to demonstrate experimentally than the spin orbit energy. Can someone update me on the experimental progress on this aspect?

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# Atomic spectra evidence for relativistic potential

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