diff --git a/doc/Eqs/fix_nh1.jpg b/doc/Eqs/fix_nh1.jpg index a100650a57..929f97a8c6 100644 Binary files a/doc/Eqs/fix_nh1.jpg and b/doc/Eqs/fix_nh1.jpg differ diff --git a/doc/Eqs/fix_nh1.tex b/doc/Eqs/fix_nh1.tex index 457dfd117f..f6928495ce 100644 --- a/doc/Eqs/fix_nh1.tex +++ b/doc/Eqs/fix_nh1.tex @@ -12,27 +12,24 @@ {\ensuremath{{\rm i}}} -$$ -\exp \left(\iu{} L \Delta t \right) = +\begin{eqnarray*} +\exp \left(\iu{} L \Delta t \right) &=&Ê \exp \left(\iu{} L_{\rm T\mhyphen baro} \frac{\Delta t}{2} \right) \exp \left(\iu{} L_{\rm T\mhyphen part} \frac{\Delta t}{2} \right) \exp \left(\iu{} L_{\epsilon , 2} \frac{\Delta t}{2} \right) -\exp \left(\iu{} L_{2}^{(2)} \frac{\Delta t}{2} \right) -$$ -$$ -\times \left[ +\exp \left(\iu{} L_{2}^{(2)} \frac{\Delta t}{2} \right) \\ +&&\times \left[ \exp \left(\iu{} L_{2}^{(1)} \frac{\Delta t}{2n} \right) \exp \left(\iu{} L_{\epsilon , 1} \frac{\Delta t}{n} \right) \exp \left(\iu{} L_1 \frac{\Delta t}{n} \right) \exp \left(\iu{} L_{2}^{(1)} \frac{\Delta t}{2n} \right) -\right]^n -$$ -$$ +\right]^n \\ +&&\times \exp \left(\iu{} L_{2}^{(2)} \frac{\Delta t}{2} \right) -\exp \left(\iu{} L_{\epsilon , 2} \frac{\Delta t}{2} \right) -\exp \left(\iu{} L_{\rm T\mhyphen part} \frac{\Delta t}{2} \right) -\exp \left(\iu{} L_{\rm T\mhyphen baro} \frac{\Delta t}{2} \right) -+ \mathcal{O} \left(\Delta t^3 \right) -$$ +\exp \left(\iu{} L_{\epsilon , 2} \frac{\Delta t}{2} \right) +\exp \left(\iu{} L_{\rm T\mhyphen part} \frac{\Delta t}{2} \right) +\exp \left(\iu{} L_{\rm T\mhyphen baro} \frac{\Delta t}{2} \right) \\ +&&+ \mathcal{O} \left(\Delta t^3 \right) +\end{eqnarray*} \end{document}