Schrodinger's equation and potential energy

[xiankai]

Homework Statement

1. In a region of space, a particle with zero total energy E has a wavefunction

ψ (x) = A x exp - (x2/L2)

a) Find the potential energy U as a function of x
b) Make a sketch of U(x) versus x

Homework Equations

time independent Schrödinger's equation

The Attempt at a Solution

judging by the nature of the equation, the graph of U(x) against x seems to be that of a quadratic curve with the minimum point below the y-axis.

did i get it correct? I am abit uncertain...

 

[Dick]

That looks fine to me.