Operators in quantum mechanics

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📚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:    • Dirac notation: state space and dual ...  

⏭️ WHAT NEXT?
Hermitian operators:    • Hermitian operators in quantum mechanics  
Unitary operators:    • Unitary operators in quantum mechanics  

✏️ EXERCISES
Properties of the adjoint operator:    • Try it yourself: the adjoint operator...  

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Director and writer: BM
Producer and designer: MC