- #1
Physicslad78
- 47
- 0
I am trying to solve the following differential equation:
where is the angular momentum given by:
[tex] \frac{1}{\sin\theta}\frac{\partial}{\partial\theta}(sin\theta\frac{partial}{\partial\theta})-\frac{1]{sin^2\theta}\frac{\partial^2}{\partial\phi^2}
[/tex]. goes from 0 to while goes from 0 to 2 . and are constants and E is the energy of the system.. This differential equation seems non separable. Any ideas how to solve it...I also realized that the term is a combination of [tex] (Y_{2,-2]+ Y_{2,2}) [/tex]. But then how to continue?
Thanks
where
[tex] \frac{1}{\sin\theta}\frac{\partial}{\partial\theta}(sin\theta\frac{partial}{\partial\theta})-\frac{1]{sin^2\theta}\frac{\partial^2}{\partial\phi^2}
[/tex].
Thanks