Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems A Modern Approach to Quantum Mechanics · Problem 3.13
Angular Momentum — John S. Townsend
Physics — Quantum Mechanics · spin-1-commutation-relations
Problem Verify that the 3 × 3 3\times 3 3 × 3 J x → ℏ 2 ( 0 1 0 1 0 1 0 1 0 ) , J y → ℏ 2 ( 0 − i 0 i 0 − i 0 i 0 ) , J z → ℏ ( 1 0 0 0 0 0 0 0 − 1 ) J_x \to \frac{\hbar}{\sqrt{2}}\begin{pmatrix} 0 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0 \end{pmatrix}, \quad J_y \to \frac{\hbar}{\sqrt{2}}\begin{pmatrix} 0 & -i & 0 \\ i & 0 & -i \\ 0 & i & 0 \end{pmatrix}, \quad J_z \to \hbar\begin{pmatrix} 1 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & -1 \end{pmatrix} J x → 2 ℏ 0 1 0 1 0 1 0 1 0 , J y → 2 ℏ 0 i 0 − i 0 i 0 − i 0 , J z → ℏ 1 0 0 0 0 0 0 0 − 1 Browse the problem library