Chapter 8, Problem 8A.6P

Interpretation Introduction

Interpretation:

Whether the orbitals ${\text{p}}_x$ and ${\text{p}}_y$ are eigen functions of $l_z$ or not has to be stated.  In case they are not, a linear combination of ${\text{p}}_x$ and ${\text{p}}_y$ that is eigen function of $l_z$ has to be stated.

Concept introduction:

When an operator operates on a function and gives back the function along with a constant, then the function is known as eigen function of the operator and the constant is known as eigenvalue.  A general eigenvalue equation is represented as shown below.

  $\widehat{\text{O}}\psi =\text{K}\psi$