Professor M does Science | Angular momentum in quantum mechanics @ProfessorMdoesScience | Uploaded November 2020 | Updated October 2024, 2 hours ago.
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📚 Angular momentum is key in understanding many physical situations, perhaps most importantly the behaviour of particles moving in central potentials, like an electron in a hydrogen atom. In this video we upgrade classical angular momentum to a quantum mechanical operator, and we explore some of its properties. We also learn that angular momentum in quantum mechanics is not restricted to *orbital* angular momentum and introduce the idea of *spin* angular momentum, which has no classical analogue.

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⏮️ BACKGROUND
Dirac notation in state space: youtu.be/hJoWM9jf0gU
Operators: youtu.be/pNFna7zZbgE
Hermitian operators: youtu.be/XIgDUfyrLAY
Compatible observables: youtu.be/IhJvX4H7xkA
Measurements: youtu.be/u1R3kRWh1ek
Heisenberg uncertainty principle: youtu.be/pfjQtyLBBHw

⏭️ WHAT NEXT?
Ladder operators: youtu.be/yGvfqRfw1BE
Angular momentum eigenvalues: youtu.be/t7x6vt6xkAI

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Director and writer: BM
Producer and designer: MC