Chapter 12, Problem 12.47E

Interpretation Introduction

Interpretation:

The two real wavefunctions determined in Example 12.12 are orthonormal is to be stated.

Concept introduction:

For the orthogonality of the two different wave functions, 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 wave functions. The essential condition for two wave functions to be orthogonal to each other is $m\ne n$.