Chapter 10, Problem 10.65E

Interpretation Introduction

Interpretation:

The average value of position, $\langle x\rangle$, for ${\Psi }_2$ of a particle-in-a-box is to be evaluated. The corresponding answer is to be compared with the given value.

Concept introduction:

In quantum mechanics, the wavefunction is given by $\Psi$. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ${\left|\Psi \right|}^2$, relates to the probability density.