(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

time independent schrodinger's equation

3. 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...

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# Schrodinger's equation and potential energy

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