Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 39 - More about Matter Waves - Questions - Page 1214: 9b

Answer

The excitation increases the probability of detecting the electron in a small length of the x axis near one of the well walls.

Work Step by Step

In Figure 39-6, we can see that the graph of the probability density for $n = 1$ (the ground state) has a peak near the center and decreases to zero near the walls. This shows that there is a low probability of finding the electron near the walls. The graph of the probability density for $n = 2$ (first excited state) has a trough near the center, but it has a peak closer to each wall. This shows that there is a low probability of finding the electron near the center of the well and a higher probability of finding the electron nearer the walls. Therefore, the excitation increases the probability of detecting the electron in a small length of the x axis near one of the well walls.
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