In the above picture, the author is trying to summarize the correlation between particle and wave packet. In doing so, he assumes that frequency is related to energy as: $E=h\nu$. Is this apparent assumption correct?
Because as far as I know, the quantization is only for oscillators on blackbody surface. And Einstein extended it for light waves.
But when it comes to matter wave, is it still true? That the particles energy can only be an integral multiple of the frequency associated with its matter wave times the Plank's Constant?
In fact, the slide doesn't even mention the integral multiple. So where am I missing out?