## University Physics with Modern Physics (14th Edition)

Published by Pearson

# Chapter 41 - Quantum Mechanics II: Atomic Structure - Problems - Discussion Questions - Page 1401: Q41.1

#### Answer

The probabilities are identical.

#### Work Step by Step

The probability density for each particle is the square of its absolute value, equal to the product of $\Psi(x,y,z,t)$ and its complex conjugate, $\Psi^*(x,y,z,t)$. For particle A, we obtain $|\Psi(x,y,z)|^2$. For particle B, we obtain $|\Psi(x,y,z)|^2e^{i \phi} e^{-i \phi}=|\Psi(x,y,z)|^2$. The probability distribution functions for the particles are identical, and so the probabilities described are too.

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