A quick physics question. I'm reading an AJP article on finding the bound energies in an asymmetric rectangular potential well. The method it proposes is really interesting and I hope to post a summary of the article soon, but for the moment, I'm stuck on the same step that always seems to stall me with Bohr-Sommerfeld quantization exercises.
Starting with equation 9(picture 1)
taking k approximately equal to the square root of U, we're supposed to arrive at (picture 2)
I can get as close as (picture 3)
but that's it. I'd suspect the article of having a typo, but I know that's the programming equivalent of blaming the compiler, so I'm trying to hold off on that.
Can anyone see where I've gone wrong?
Excerpt from article (picture 4)