Two videos this week. Both rather dull but necessary. Part 5 explores rotation of axes to move from one operator and its eigenstates to another operator and its eigenstates. Part 6 looks at commutators. Operators that share eigenstates commute. Operators with different eigenstates don’t commute. Many approaches to Quantum Mechanics actually start off with the commutation relations between operators.
Next week’s video is MUCH more interesting. We’ll see the first example where we have to introduce complex numbers in order to make it all work.