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Display information for equation id:math.1807.27 on revision:1807
* Page found: Dirac- Gleichung für Elektronen (eq math.1807.27)
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\begin{align}
& i\hbar \frac{\partial }{\partial t}\Psi =\left( c\bar{\alpha }\bar{p}+{{m}_{0}}{{c}^{2}}\beta \right)\Psi \\
& -{{\hbar }^{2}}\frac{{{\partial }^{2}}}{\partial {{t}^{2}}}\Psi =\left( c\bar{\alpha }\bar{p}+{{m}_{0}}{{c}^{2}}\beta \right)\left( c\bar{\alpha }\bar{p}+{{m}_{0}}{{c}^{2}}\beta \right)\Psi \\
& \Rightarrow -{{\hbar }^{2}}\frac{{{\partial }^{2}}}{\partial {{t}^{2}}}\Psi =\left( {{c}^{2}}\left( \bar{\alpha }\bar{p} \right)\left( \bar{\alpha }\bar{p} \right)+{{m}_{0}}{{c}^{3}}\left( \bar{\alpha }\bar{p}\beta +\beta \bar{\alpha }\bar{p} \right)+{{m}_{0}}^{2}{{c}^{4}}{{\beta }^{2}} \right)\Psi \\
& \Rightarrow -{{\hbar }^{2}}\frac{{{\partial }^{2}}}{\partial {{t}^{2}}}\Psi =\left( {{c}^{2}}\sum\limits_{\mu ,\nu =1}^{3}{{}}\left( {{\alpha }^{\mu }}{{\alpha }^{\nu }}{{p}^{\mu }}{{p}^{\nu }} \right)+{{m}_{0}}{{c}^{3}}\sum\limits_{\mu =1}^{3}{{}}\left( {{\alpha }^{\mu }}\beta +\beta {{\alpha }^{\mu }} \right){{p}^{\mu }}+{{m}_{0}}^{2}{{c}^{4}}{{\beta }^{2}} \right)\Psi \\
\end{align}
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