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About wave properties of matter?

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The behavior is similar. Matter waves will display effects like constructive and destructive interference, and diffraction, just like water waves. But there are details that are different; water waves obey classical physics, and matter waves obey quantum physics (which means there are two wave behaviors to worry about — one described by deBroglie and one by Schrödinger). Water is a medium for the waves, while there is no medium for a matter wave — the particle itself is displaying wave properties. 

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