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4.7 Consider an infinite square-well potential of width a, but with the coordinate system shifted so that the infinite potential barriers lie at x = a/2 and x = a/2 (see diagram): V(x) x = =-= x = 12 X (a) Solve the Schrödinger equation for this case to calculate the normalized wave functions Un(x) and the corresponding energies En. (b) Explain why you get the same energies as for the square well between x = 0 and x = a, but a different set of wave functions.

4.7 Consider an infinite square-well potential of width a, but with the coordinate system shifted so that the infinite potential barriers lie at x = a/2 and x = a/2 (see diagram): V(x) x = =-= x = 12 X (a) Solve the Schrödinger equation for this case to calculate the normalized wave functions Un(x) and the corresponding energies En. (b) Explain why you get the same energies as for the square well between x = 0 and x = a, but a different set of wave functions.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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4.7 Consider an infinite square-well potential of width a, but with the coordinate system shifted so that the infinite potential barriers lie at x = a/2 and x = a/2 (see diagram): V(x) x = =-= x = 12 X (a) Solve the Schrödinger equation for this case to calculate the normalized wave functions Un(x) and the corresponding energies En. (b) Explain why you get the same energies as for the square well between x = 0 and x = a, but a different set of wave functions.
Transcribed Image Text:4.7 Consider an infinite square-well potential of width a, but with the coordinate system shifted so that the infinite potential barriers lie at x = a/2 and x = a/2 (see diagram): V(x) x = =-= x = 12 X (a) Solve the Schrödinger equation for this case to calculate the normalized wave functions Un(x) and the corresponding energies En. (b) Explain why you get the same energies as for the square well between x = 0 and x = a, but a different set of wave functions.
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