Wave function (schrodinger equation)

[asdf12312]

Homework Statement

Sketch the wave function ψ(x) corresponding to a particle with energy E in the potential well shown below. Show correctly relative values of amplitude and wavelength in different regions.

Homework Equations

none?

The Attempt at a Solution

I guess I was a bit confused how to get started with this.. there's nothing like this in my notes so I'm kinda guessing. but from the picture I can see E is a staight line (constant) and it only oscillates when E>V0 otherwise it is decaying (e^x or something). So i graphed rough sketch of the wave function..am I doing anything that is wrong?

 

[RomegaPRogRess]

Your understanding of what to do is correct. Of course in the region when the energy of the particle is greater than the potential: one measures a free particle like solution with varying frequencies.

There are two questionable parts for me in your solution. There isn't a decay before the first measurable wall and the second well oscillates too slowly being only 2 units higher than the first.