- #1
andre220
- 75
- 1
Homework Statement
Using Bohr's quantization rule find the energy levels for a particle in the potential: $$U(x) = \alpha\left|x\right|, \alpha > 0.$$
Homework Equations
##\oint p\, dx = 2\pi\hbar (n + \frac{1}{2})##
The Attempt at a Solution
Okay so:
##\begin{eqnarray}
\oint p\, dx &= \int \sqrt{2m(E-U(x))}\,dx\\
&= \int\limits_{-\infty}^{+\infty} \sqrt{2m(E-\alpha\left|x\right|)}\,dx\\
&= 2\pi\hbar (n+\frac{1}{2}
\end{eqnarray}##
So far, I believe this is correct, but the integral doesn't converge so either I am missing something or I've done something wrong. I can't seem to see what it is. Any help is greatly appreciated.