Compute \bgroup\color{black}$[L_x,L_y]$\egroup Using Matrices *


\begin{displaymath}\bgroup\color{black}[L_x,L_y]={\hbar^2\over 2i} \left(
\lef...
...
\left(\matrix{0&1&0\cr 1&0&1\cr 0&1&0}\right)
\right)\egroup\end{displaymath}


\begin{displaymath}\bgroup\color{black}{\hbar^2\over 2i} \left(
\left(\matrix{...
...left(\matrix{1&0&0\cr 0&0&0\cr 0&0&-1}\right)=i\hbar L_z\egroup\end{displaymath}

The other relations will prove to be correct too, as they must. Its a reassuring check and a calculational example.



Jim Branson 2013-04-22