Chapter 11, Problem 11.51E

Interpretation Introduction

Interpretation:

The form of the Schrӧdinger equation in given equation would be equivalent to its form if $V$ were identically zero is to be shown.

Concept introduction:

The wave function for $\text{3-D}$ rotational motion involves spherical polar coordinates to explain the motion in three dimensions. It is given by the expression as follows.

${\Psi }_{m,l}=\frac{1}{\sqrt{2\pi }}{e}^{im\varphi }{\theta }_{l,m_l}$

Where, ${\Psi }_m$ represents the wave function dependent on quantum number $m$ and $l$. The values of $m$ and $l$ start from $0$. Also, they can take up both negative and positive integral values.