QM4 · Angular momentum & spin
A 22-module path through qm4 · angular momentum & spin, in study order from foundations to the frontier.
Modules
- Orbital Angular Momentum Operators
- Angular Momentum Commutation Relations
- Ladder Operators and the Angular Momentum Spectrum
- Spherical Harmonics
- Eigenfunctions of L_z and the Azimuthal Quantization
- Associated Legendre Functions
- Spin Angular Momentum
- Spin-1/2 and the Pauli Matrices
- Spinors and Two-Component Wavefunctions
- Rotation Operators and SU(2)
- The Stern-Gerlach Experiment
- Magnetic Moment and the Gyromagnetic Ratio
- Wigner D-Matrices
- Addition of Angular Momenta
- Clebsch-Gordan Coefficients
- Coupled and Uncoupled Bases
- Singlet and Triplet States
- Spherical Tensor Operators
- The Wigner-Eckart Theorem
- Projection Theorem for Vector Operators
- 3-j, 6-j and Racah Symbols
- Larmor Precession and Magnetic Resonance