Professor M does Science | Orbital angular momentum in quantum mechanics @ProfessorMdoesScience | Uploaded January 2021 | Updated October 2024, 38 minutes ago.
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📚 In classical mechanics, angular momentum is the rotational equivalent of linear momentum. The corresponding quantity in quantum mechanics is called orbital angular momentum, and 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 introduce orbital angular momentum, and we calculate the relevant operators in the position basis and using spherical coordinates, because this setup is the most convenient one when studying the rotational motion of particles.

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⏮️ BACKGROUND
Representations: youtu.be/rp2k2oR5ZQ8
Position and momentum: youtu.be/Yw2YrTLSq5U
General angular momentum: youtu.be/Bo5qoaLsBOE
Ladder operators: youtu.be/yGvfqRfw1BE

⏭️ WHAT NEXT?
Orbital angular momentum eigenvalues: youtu.be/5h5mbL5rco0
Orbital angular momentum eigenfunctions: youtu.be/Gk2XNmIHVwo

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Director and writer: BM
Producer and designer: MC