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PROFESSOR: So what are we trying to do? Were going to try to write a matter wave. We have a particle with energy e and momentum p. e is equal to h bar omega. So you can get the omega of the wave. And p is equal to h bar k. You can get the k of the wave. So de Broglie has told you thats the way to do it. Thats the p and the k. But what is the wave? Really need the phase to-- how does the wave look like? So the thing is that Im going to do an argument based on superposition and very basic ideas of probability to get-- to find the shape of the wave. And look at this possibility. Suppose we have plane waves-- plane waves in the x plus direction. A particle that is moving in the plus x direction. No need to be more general yet. So what could the wave be? Well, the wave could be sine of kx minus omega t. Maybe thats the de Broglie wave. Or maybe the de Broglie wave is cosine of kx minus omega t. But maybe its neither one of them. Maybe it is an e to ikx minus i omega t. These things m