- #1
ognik
- 626
- 2
I got to here in a simple exercise (orb. ang. momentum cords), realized I was applying something I didn't understand ...
$L = -i \begin{vmatrix}\hat{x}&\hat{y}&\hat{z}\\x&y&z\\\pd{}{x}&\pd{}{y}&\pd{}{z}\end{vmatrix}$
I 'know' it equates to $L_x =-i \left( y\pd{}{z} - z\pd{}{y} \right) $ - but I could just as well (?) have $L_x =-i \left( \pd{y}{z} - \pd{z}{y} \right) $?
(I seem also to recall other exercises where it was right to combine the del components the 2nd way above)
$L = -i \begin{vmatrix}\hat{x}&\hat{y}&\hat{z}\\x&y&z\\\pd{}{x}&\pd{}{y}&\pd{}{z}\end{vmatrix}$
I 'know' it equates to $L_x =-i \left( y\pd{}{z} - z\pd{}{y} \right) $ - but I could just as well (?) have $L_x =-i \left( \pd{y}{z} - \pd{z}{y} \right) $?
(I seem also to recall other exercises where it was right to combine the del components the 2nd way above)