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
time independent schrodinger'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? im abit uncertain...