forked from lijiext/lammps
36 lines
1.0 KiB
TeX
36 lines
1.0 KiB
TeX
\documentclass[24pt]{article}
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\pagestyle{empty}
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\Huge
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\begin{document}
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\mathchardef\mhyphen="2D
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% The imaginary unit
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\providecommand*{\iu}%
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{\ensuremath{{\rm i}}}
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\begin{eqnarray*}
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\exp \left(\iu{} L \Delta t \right) &=&Ê
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\exp \left(\iu{} L_{\rm T\mhyphen baro} \frac{\Delta t}{2} \right)
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\exp \left(\iu{} L_{\rm T\mhyphen part} \frac{\Delta t}{2} \right)
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\exp \left(\iu{} L_{\epsilon , 2} \frac{\Delta t}{2} \right)
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\exp \left(\iu{} L_{2}^{(2)} \frac{\Delta t}{2} \right) \\
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&&\times \left[
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\exp \left(\iu{} L_{2}^{(1)} \frac{\Delta t}{2n} \right)
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\exp \left(\iu{} L_{\epsilon , 1} \frac{\Delta t}{n} \right)
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\exp \left(\iu{} L_1 \frac{\Delta t}{n} \right)
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\exp \left(\iu{} L_{2}^{(1)} \frac{\Delta t}{2n} \right)
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\right]^n \\
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&&\times
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\exp \left(\iu{} L_{2}^{(2)} \frac{\Delta t}{2} \right)
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\exp \left(\iu{} L_{\epsilon , 2} \frac{\Delta t}{2} \right)
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\exp \left(\iu{} L_{\rm T\mhyphen part} \frac{\Delta t}{2} \right)
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\exp \left(\iu{} L_{\rm T\mhyphen baro} \frac{\Delta t}{2} \right) \\
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&&+ \mathcal{O} \left(\Delta t^3 \right)
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\end{eqnarray*}
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\end{document}
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