Sketch the graph of the wave-function.

[stefan10]

Homework Statement

I am given the graph of the potential of a particle, and the particle is in its ground state. I must make the graph of the wave-function with respect to x.

(A) Sketch psi(x) for this particle.
(B) You make a measurement to find the particle. Indicate on your graph the point or points at which you are most likely to find it.

Homework Equations

Schrödinger's Time Independent equation with the second partial derivative with respect to x of the wave-function on the left-hand side and the Hamiltonian Operator on the right hand side.

The Attempt at a Solution

In the attached image. I just want to know if anything is incorrect, or if I am missing something, so that I don't do the rest of the questions fundamentally incorrectly. Thank you!

 

[collinsmark]

That looks almost right to me.

Expect for one thing, you might want to move the peak of the curve indicated by point B just a touch.

The rightmost section of the wavefunction (right of the rightmost dashed, vertical line) should be curving upwards. But the way you've drawn it, some of the downward curvature from the previous section (The section containing B) looks to have crept over the dashed line.