Chapter 7, Problem 7D.7AE

Interpretation Introduction

Interpretation:

The wavefunction corresponding to the state with $n=1$ for a particle in a box has to be sketched.  The corresponding probability density has to be sketched on the same graph.  The reason as to why the expectation value of $x^2$ is not equal to ${\left(\frac{L}{2}\right)}^2$ has to be stated.

Concept introduction:

The wave function represents the exact position of the particle.  For a wave function to be acceptable, it must be normalized.  The wave function is represented by $\psi$ in the quantum mechanics.