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![[parent]](https://images.physicslibrary.org/images/uparrow.png) Viewing Correction to 'time independent Schr\"odinger equation in spherical coordinates'
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Relationship with the angular momentum operator by invisiblerhino
Correction id: 39
Filed on: 2008-03-25 20:41:25
Status: Accepted on 2008-03-26 09:16:01
Type: Addendum
Correction text:
The time independent Schroedinger equation in spherical polars is simpler and more intuitive, if written with the angular momentum operator, as follows:
\[
\frac{-\hbar^2}{2m} \left( \frac{1}{r^2} \frac{\partial}{\partial r}\left( r^2 \frac{\partial}{\partial r} \right) + \frac{1}{2m} \frac{\hat{L^2}}{r^2} + V(r)\right)\psi = E\psi
\]
This explicitly shows the angular dependence of the second term, and it is hence easier to develop the separable solution. If you'd like to open up the article access I'd be happy to add this point myself. |
No comment from former object owner invisiblerhino.
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