Shot wave length corresponds to high curvature of the wave function

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photon79
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What does it mean by "shot wave length corresponds to high curvature of the wave function" ?
 
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A short wavelength means that there's a small distance between successive peaks and troughs of the wave, which means that the graph has to curve around a lot quicker in order to get where it's going. Look at the graphs of sin(x) and sin(10x) on the interval 0-2pi and I think you'll get the idea.