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Display information for equation id:math.1571.47 on revision:1571

* Page found: Kräftefreie Schrödingergleichung (eq math.1571.47)

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\tilde{\Psi }(k)=\frac{1}{2\pi }\int\limits_{-\frac{\Delta x}{2}}^{\frac{\Delta x}{2}}{dx{{e}^{-ikx}}=}\frac{1}{2\pi }\left. \frac{{{e}^{-ikx}}}{-ik} \right|_{-\frac{\Delta x}{2}}^{\frac{\Delta x}{2}}=\frac{\Delta x}{2\pi }\frac{\sin \left( k\frac{\Delta x}{2} \right)}{k\frac{\Delta x}{2}}

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Ψ~(k)=12πΔx2Δx2dxeikx=12πeikxik|Δx2Δx2=Δx2πsin(kΔx2)kΔx2
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