Source: cirosantilli/ladder-operator

= Ladder operator
{wiki}

http://www.physics.udel.edu/~jim/PHYS424_17F/Class%20Notes/Class_5.pdf by James MacDonald shows it well.

The operators are a natural guess on the lines of "if p and x were integers".

And then we can prove the ladder properties easily.

The <commutator> appear in the middle of this analysis.

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