Orbital Angular Momentum Operator

$L:=X\times P$, where

• $X$ is the Position Operator
• $P$ is the Momentum Operator
• $\times$ is the Cross product

Properties

• $[L^2,L_i]=0$ where
  • $L_i\in \{L_x,L_y,L_z\}$
  • $L^2:={\sum }_i{L}_i$.