Professor M does Science | Unitary operators in quantum mechanics @ProfessorMdoesScience | Uploaded April 2021 | Updated October 2024, 3 hours ago.
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📚 Unitary operators in quantum mechanics are used to describe physical processes such as spatial translations and time evolution. In this video, we discuss the basic properties of unitary operators and how we can transform quantum states and observables under the action of unitary operators.

⏮️ BACKGROUND
Dirac notation in state space: youtu.be/hJoWM9jf0gU
Operators: youtu.be/pNFna7zZbgE
Representations: youtu.be/rp2k2oR5ZQ8
Matrix formulation: youtu.be/wIwnb1ldYTI
Eigenvalues and eigenstates: youtu.be/p1zg-c1nvwQ

⏭️ WHAT NEXT?
Translation operators: youtu.be/978mMgGYs1M
Time evolution operator: youtu.be/zqmU4dW03aM

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Director and writer: BM
Producer and designer: MC