Orbital angular momentum eigenvalues

Опубликовано: 27 Июнь 2026
на канале: Professor M does Science
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📚 From our study of general angular momentum in quantum mechanics, we know that angular momentum eigenvalues are quantized. They are labelled by the quantum numbers j and m, which can take integer or half-integer values. The eigenvalues of orbital angular momentum must also follow these rules, because orbital angular momentum is just a particular instance of angular momentum. However, in this video we will learn that not all allowed values of j and m can actually exist for orbital angular momentum: only integer values are possible.

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⏮️ BACKGROUND
General angular momentum:    • Angular momentum in quantum mechanics  
Ladder operators:    • Ladder operators in angular momentum  
General angular momentum eigenvalues:    • Angular momentum eigenvalues  
Orbital angular momentum:    • Orbital angular momentum in quantum mechanics  

⏭️ WHAT NEXT?
Orbital angular momentum eigenfunctions:    • Orbital angular momentum eigenfunctions  

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Director and writer: BM
Producer and designer: MC