(8) In a region of space, a particle with zero energy has the wave function 4(x) = Axe-x²/L² (a) Find the potential energy function U(x). Hint: Plug (x) into the Schrodinger equation. (b) Sketch or plot this potential energy function and the wave function as functions of x (c) What does this wave function represent?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter40: Quantum Mechanics
Section: Chapter Questions
Problem 18P
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(8) In a region of space, a particle with zero energy has the wave function
4(x) = Axe-x²/L²
(a) Find the potential energy function U(x). Hint: Plug (x) into the Schrodinger equation.
(b) Sketch or plot this potential energy function and the wave function as functions of x
(c) What does this wave function represent?
Transcribed Image Text:(8) In a region of space, a particle with zero energy has the wave function 4(x) = Axe-x²/L² (a) Find the potential energy function U(x). Hint: Plug (x) into the Schrodinger equation. (b) Sketch or plot this potential energy function and the wave function as functions of x (c) What does this wave function represent?
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