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: Q40.4

Answer

See explanation.

Work Step by Step

The quantity $|\Psi(x,t)|^2$ is a probability distribution function. Since the probability of finding the particle somewhere in all of space must be one, that is the same as saying that the quantity $\int |\Psi(x,t)|^2 dx=1$. In other words, the integral must be finite, and The quantity $|\Psi|^2$ is a probability distribution function. Since the probability of finding the particle somewhere in all of space must be one, that is the same as saying that the quantity $\Psi$ is said to be normalized.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.