deletions | additions       diff --git a/Quantum.tex b/Quantum.tex  index 3d10c23..5f76206 100644  --- a/Quantum.tex  +++ b/Quantum.tex 
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E_i=\frac{1}{\alpha\tau}\int_0^{E_{i-1}}\frac{1}{\omega}cos^{-1}\bigg(\sqrt{\frac{2\epsilon}{m\omega^2}}\;\bigg) \; \mathrm{d\epsilon}\\  E_i=\frac{1}{\alpha\tau}\Bigg[ \frac{\sqrt{\frac{2\epsilon}{m\omega^2}}\epsilon(\frac{2\epsilon}{m\omega^2}\epsilon-1)+\sqrt{\epsilon}\sqrt{1-\frac{2\epsilon}{m\omega^2}\epsilon}sin^{-1}\bigg(\sqrt{\frac{2\epsilon}{m\omega^2}}\;\bigg)}{2\sqrt{\frac{2\epsilon}{m\omega^2}}\sqrt{-\frac{2\epsilon}{m\omega^2}\epsilon(\frac{2\epsilon}{m\omega^2}\epsilon-1)}} +\epsilon cos^{-1}\bigg(\sqrt{\frac{2\epsilon}{m\omega^2}}\;\bigg)\Bigg]_0^{E_{i-1}} \\\\  \end{equation}