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
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 \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12a87369-92aa-4409-8849-fdc4e26754ae%2F81ca4ac3-04a2-4108-aac2-2f80ff3f539f%2F14sk6lj_processed.jpeg&w=3840&q=75)
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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