I'm looking for some physical intuition as to why sound waves are
quantized.

I know two mathematical procedures for deriving phonons in a lattice:
1) impose the canonical commutation relations on the system ad-hoc,
and 2) apply the Schrodinger equation to the lattice. But neither of
these gives me any sense of what could be the mechanism by which sound
is quantized in the lattice.

Any reference material would be greatly appreciated. I've looked
around for a while on this.
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