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Matter-waves


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Going by the physics I've learnt, matter-waves are particles in motion.

Considering that, aren't all waves the same? And, are waves just a simplification of phenomenon so that it's easier to understand? Can't phenomenon like interference be explained with the particle theory (considering calling photons as particles to be still valid)?

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Well, ellastic collisions, and about interference:

Imagine that you hold two pen torches switched on and cross the light rays. At the point of intersection, we see a brighter region. Interference, perhaps can be explained on a similar basis in the microscopic level. Take photons to have a definite boundary, when they come across other photons and interact, their properties change.

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