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Display information for equation id:math.2711.154 on revision:2711
* Page found: Formaler Aufbau der Quantenmechanik (eq math.2711.154)
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Hash: 2757122693d1df44123c2c7fb250f2b1
TeX (original user input):
0=\left| \begin{matrix}
z+\frac{\omega }{2}-{{B}_{0}} & -{{B}_{1}} \\
-{{B}_{1}} & z-\frac{\omega }{2}+{{B}_{0}} \\
\end{matrix} \right|={{z}^{2}}-{{\left( {{B}_{0}}-\frac{\omega }{2} \right)}^{2}}-B_{1}^{2}\Rightarrow {{z}_{\pm }}=\pm \sqrt{{{\left( {{B}_{0}}-\frac{\omega }{2} \right)}^{2}}+B_{1}^{2}}=\pm \frac{1}{2}{{\Omega }_{R}}
TeX (checked):
0=\left|{\begin{matrix}z+{\frac {\omega }{2}}-{{B}_{0}}&-{{B}_{1}}\\-{{B}_{1}}&z-{\frac {\omega }{2}}+{{B}_{0}}\\\end{matrix}}\right|={{z}^{2}}-{{\left({{B}_{0}}-{\frac {\omega }{2}}\right)}^{2}}-B_{1}^{2}\Rightarrow {{z}_{\pm }}=\pm {\sqrt {{{\left({{B}_{0}}-{\frac {\omega }{2}}\right)}^{2}}+B_{1}^{2}}}=\pm {\frac {1}{2}}{{\Omega }_{R}}
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