Chapter 9, Problem 9A.8BE

Interpretation Introduction

Interpretation:

The linear combinations $h_1=\left(\sin \zeta \right)\text{s}+\left(\cos \zeta \right)\text{p}$ and $h_2=\left(\cos \zeta \right)\text{s}-\left(\sin \zeta \right)\text{p}$ have to be normalized to $1$ with the given condition that $\text{s}$ and $\text{p}$ orbitals are normalized to $1$.

Concept introduction:

In quantum mechanics, the wavefunction is given by $\psi$.  The wavefunction contains all the information about the state of the system.  The wavefunction is the function of the coordinates of particles and time.  The normalized wavefunction is given by the wavefunction shown below.

  ${\displaystyle \underset{0}{\overset{\infty }{\int }}{\psi }^{*}\psi }\text{d}\tau =1$