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: Q40.24

Answer

The probability of finding a particle in the center half of the region is less than the probability of finding a particle in the outer half of the region. Yes, it is consistent with the physical picture.

Work Step by Step

The wavefunction has higher amplitude in the outer half as seen in Figure 40.28, so the particle is more likely to be found there. Yes, it is consistent with the physical picture. A particle in simple harmonic motion, such as a mass on a spring, slows down as it approaches the endpoints, and moves fastest at equilibrium. It does spend more time in the outer half than in the inner half.
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