Fundamentals of Physics Extended (10th Edition)

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

Chapter 38 - Photons and Matter Waves - Problems - Page 1184: 60b

Answer

Given, $\psi(x)=\psi_0e^{-ikx}$ Thus, the probability density is given by $|\psi|^2=\psi_0^2$ Since $|\psi|^2$has the same constant value $\psi_0^2$ for all values of $x$, the particle has the same probability of detection at all points along its path. Therefore, the plot of the probability density $|\psi|^2$ would not be altered. It will be same as Fig. 38-13.

Work Step by Step

Given, $\psi(x)=\psi_0e^{-ikx}$ Thus, the probability density is given by $|\psi|^2=\psi_0^2$ Since $|\psi|^2$has the same constant value $\psi_0^2$ for all values of $x$, the particle has the same probability of detection at all points along its path. Therefore, the plot of the probability density $|\psi|^2$ would not be altered. It will be same as Fig. 38-13.
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