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Display information for equation id:math.1805.54 on revision:1805

* Page found: Dirac- Gleichung für Elektronen (eq math.1805.54)

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TeX (original user input):

\begin{align}

& i\hbar \dot{\Psi }=-i\hbar c{{\alpha }^{\mu }}{{\partial }_{\mu }}\Psi +{{m}_{0}}{{c}^{2}}\beta \Psi  \\

& -i\hbar {{{\dot{\Psi }}}^{+}}=i\hbar c{{\left( {{\alpha }^{\mu }}{{\partial }_{\mu }}\Psi  \right)}^{+}}+{{m}_{0}}{{c}^{2}}{{\left( \beta \Psi  \right)}^{+}} \\

& {{\left( \beta \Psi  \right)}^{+}}={{\Psi }^{+}}\beta  \\

& {{\left( {{\alpha }^{\mu }}{{\partial }_{\mu }}\Psi  \right)}^{+}}=\left( {{\partial }_{\mu }}{{\Psi }^{+}} \right){{\alpha }^{\mu }} \\

\end{align}

TeX (checked):

{\begin{aligned}&i\hbar {\dot {\Psi }}=-i\hbar c{{\alpha }^{\mu }}{{\partial }_{\mu }}\Psi +{{m}_{0}}{{c}^{2}}\beta \Psi \\&-i\hbar {{\dot {\Psi }}^{+}}=i\hbar c{{\left({{\alpha }^{\mu }}{{\partial }_{\mu }}\Psi \right)}^{+}}+{{m}_{0}}{{c}^{2}}{{\left(\beta \Psi \right)}^{+}}\\&{{\left(\beta \Psi \right)}^{+}}={{\Psi }^{+}}\beta \\&{{\left({{\alpha }^{\mu }}{{\partial }_{\mu }}\Psi \right)}^{+}}=\left({{\partial }_{\mu }}{{\Psi }^{+}}\right){{\alpha }^{\mu }}\\\end{aligned}}

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iΨ˙=icαμμΨ+m0c2βΨiΨ˙+=ic(αμμΨ)++m0c2(βΨ)+(βΨ)+=Ψ+β(αμμΨ)+=(μΨ+)αμ
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