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## Homework Statement

In a region of space, a particle with zero total energy has a wave function

[tex]\Psi (x) = Axe^{-x^2/L^2}[/tex]

Find the potential energy U as a function of x.

## The Attempt at a Solution

I don't understand how this particle can have zero total energy? Wouldn't this imply that the potential energy is simple 0 everywhere...