Chapter 12, Problem 12.8E

Interpretation Introduction

Interpretation:

Whether the two spin functions $\alpha$ and $\beta$ are orthogonal or not is to be stated. The reason for the same is to be stated.

Concept introduction:

For the orthogonality of the two different wavefunctions, the product of the wave functions is integrated over the entire limits. It is expressed by the equation as given below.

${\displaystyle \underset{0}{\overset{\infty }{\int }}{\Psi }_m{\Psi }_n}=0$

Where, ${\Psi }_m$ and ${\Psi }_n$ are two different wavefunctions. The essential condition for two wave functions to be orthogonal to each other is $m\ne n$.