1. In a region of space, a particle with zero energy has a wavef Y(x) = Axe-x²³/1² a. Find the potential energy U as a function of x b. Make a sketch of (x) versus X

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

   \[
   \psi(x) = A x e^{-x^2/L^2}
   \]

   a. Find the potential energy \( U \) as a function of \( x \).

   b. Make a sketch of \( U(x) \) versus \( x \).
Transcribed Image Text:1. In a region of space, a particle with zero energy has a wavefunction \[ \psi(x) = A x e^{-x^2/L^2} \] a. Find the potential energy \( U \) as a function of \( x \). b. Make a sketch of \( U(x) \) versus \( x \).
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