Schrodinger equation in a well question?

[whitegirlandrew]

Homework Statement

(See attached picture)

Homework Equations

The Attempt at a Solution

I'm not even sure where to start :( I'm assuming that i have to find a wave function outside and inside the well and meet certain boundary conditions, but I am confused. Please help.

 

[Simon Bridge]

You are supposed to apply the Wilson-Sommerfeld quantization condition.
If you don't know what that is, your first step will be to find out.
You can do this by hunting through your lecture or course notes, or searching online.
http://uw.physics.wisc.edu/~knutson/phy448/wilson-sommerfeld.pdf

Aside: what is important about the particle being classical that the author felt the need to put word "classical" in bold face? What does the "NB" note tell you to expect to happen someplace in your working?

Good luck.