One of the reasons for playing such game is that we can rewrite the kinetic energy as
|
−{{ℏ}^{2}\over
2m}\hat{{p}}^{2}f(r) = −{{ℏ}^{2}\over
2m} {1\over {
r}^{2}} {∂\over
∂r}\left ({r}^{2} {∂\over
∂r}f(r)\right ) + {1\over {
r}^{2}}\hat{{L}}^{2}f(r).
| (11.34) |