Decay length of Half Square Well

[MitsuZero]

If one wall is at infinite potential, and the other at some finite potential, what is the decay length outside of the well?

I was thinking it might be twice that for a finite square well.

Also can anyone provide some information regarding these wells? Google is (surprisingly) devoid of any information on these.

Thanks a lot.

 

[Ben Niehoff]

Schrödinger's equation is separable and not too difficult to solve for the half-infinite square well. Why not just work out the math and answer your questions yourself?