General math

• Operator properties
• Taylor expansion of $e^A$

Quantum

• Ehrenfest’s theorem
• Hamiltonian in representation of raising and lowering operator
• Quantum numbers
• Propagator
• Angular momentum operator
• Useful commutators
• $J_z$ in eigenvector basis and relation between $\hat J_-$ and $\hat J_+$
• For $V<E$ TISE
• Time evolution operator
• Potential well 1D
• Time independent Schrodinger equation
• Hamiltonian in a magnetic field
• Taylor expansion for $\hat U$