Chapter 10, Problem 10.62E

Interpretation Introduction

Interpretation:

The reason as to how $\Psi =\sqrt{2/a}\sin \left(nx/a\right)$ is not an eigenfunction of the position operator is to be stated.

Concept introduction:

When an operator acts on a function to give the function back multiplied with a constant, then the function is called eigenfunction of the operator and the constant is known as eigenvalue. A general eigenvalue equation is represented as,

$\widehat{B}\Psi =K\Psi$

Where,

• $\widehat{B}$ represents the operator.

• $\Psi$ represents the eigenfunction of the operator.

• $K$ represents the eigenvalue.