Angular Momentum Derivations
Angular-momentum derivations are easiest to navigate by separating algebra, representations, coordinate realization, and addition of systems.
Algebra and Ladders
Section titled “Algebra and Ladders”- Angular Momentum Algebra
- Ladder Operators
- Orbital Angular Momentum
- Angular Momentum Algebra Formula Card
- Ladder-Operator Action Formula Card
Spin and Rotations
Section titled “Spin and Rotations”Spherical Harmonics and Central Potentials
Section titled “Spherical Harmonics and Central Potentials”Addition and Tensor Products
Section titled “Addition and Tensor Products”References
Section titled “References”- E. P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra, Academic Press, 1959.
- A. R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton University Press, 1996.
- J. J. Sakurai and J. Napolitano, Modern Quantum Mechanics, 3rd ed., Cambridge University Press, 2020.