Chapter 12, Problem 12.26E

Interpretation Introduction

Interpretation:

The wavefunction for the interaction of electron $1$ and $2$ is an eigenfunction of ${\stackrel{⌢}{L}}_{\text{tot}}^2$ or not is to be stated. The eigenvalue of the eigenvalue equation is to be stated if the wavefunction for the interaction of electron $1$ and $2$ is an eigenfunction of ${\stackrel{⌢}{L}}_{\text{tot}}^2$.

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 an eigenvalue. A general eigenvalue equation is shown below.

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

Where,

• $\widehat{B}$ is the operator.

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

• $K$ is the eigenvalue.