- #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.