- \item Express $dk$ and $k$ by $dE$ and $E$ and insert it into $dZ$:
- \begin{itemize}
- \item $\frac{dE}{dk}=\frac{\hbar^2}{m}k \rightarrow
- dk=\frac{m}{\hbar^2k}dE$
- \item $k=\frac{\sqrt{2m}}{\hbar^2}\sqrt{E}$
- \end{itemize}
+ \item Express $dk$ and $k$ by $dE$ and $E$ and insert it into $dZ$:\\
+ $\frac{dE}{dk}=\frac{\hbar^2}{m}k \rightarrow
+ dk=\frac{m}{\hbar^2k}dE$\\
+ $k=\frac{\sqrt{2m}}{\hbar^2}\sqrt{E}$\\