📚We learn that operators act on quantum states to change them to other quantum states, allowing us to "do" physics. An unusual property of operators is that their product does not commute, which has profound implications in quantum theory, and we define the commutator to characterise this feature. We also discuss operators in the dual space by introducing the adjoint operator, and operators as outer products of a ket and a bra.
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⏮️ BACKGROUND
Dirac notation in state space: https://youtu.be/hJoWM9jf0gU
⏭️ WHAT NEXT?
Hermitian operators: https://youtu.be/XIgDUfyrLAY
Unitary operators: https://youtu.be/baIT6HaaYuQ
✏️ EXERCISES
Properties of the adjoint operator: https://youtu.be/b_DcsVCtP5I
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Director and writer: BM
Producer and designer: MC