14.4 fitting the energy levels

We minimise the \(\chi^2\) \[ \chi^2= \sum_i \frac{( \Delta E_2^{predicted} -\Delta E_2^{latt})^2}{\sigma^2} \]

\[\begin{gather} \chi^2/d.o.f.=2.32387 \\ P[0]=-0.141931\pm (0.00034) \\ P[1]=-2.94882\pm (0.044) \\ \end{gather}\] {\[\begin{gather} C=\begin{pmatrix} 1.18e-07& 0.549\\ 0.549& 0.00191\\ \end{pmatrix} \end{gather}\]}