University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 40 - Quantum Mechanics I: Wave Functions - Problems - Discussion Questions - Page 1353: Q40.16

Answer

The wavelengths are longer in the case of the finite well.

Work Step by Step

As we can see by comparing Figures 40.12a and 40.15a, the finite well wavefunctions have the same number of cycles as those in the infinitely-deep well, but these cycles are spread over a longer base. Therefore the wavelengths in the case of the finite well are longer. Because the wavelengths are longer, the energies will be lower than the corresponding energies in the infinite well.
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