In a region of space, a quantum particle with zero total energy has a wave function given below. 4(x) 1 = Axe-x²/L² (a) Find the potential energy U as a function of x. (Use the following as necessary: h, x, m, and L.) U(x) = ħ² 1 m + 2x² [4

Physics for Scientists and Engineers with Modern Physics
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Chapter40: Quantum Mechanics
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In a region of space, a quantum particle with zero total energy has a wave function given below.
4(x) = Axe-x²/L²
(a) Find the potential energy U as a function of x. (Use the following as necessary: ħ, x, m, and L.)
U(X)
=
ħ²
m
1
L²
+
2x²
[4
Transcribed Image Text:In a region of space, a quantum particle with zero total energy has a wave function given below. 4(x) = Axe-x²/L² (a) Find the potential energy U as a function of x. (Use the following as necessary: ħ, x, m, and L.) U(X) = ħ² m 1 L² + 2x² [4
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