Chapter 9, Problem 9B.1AE

Interpretation Introduction

Interpretation:

The molecular orbital $\psi ={\psi }_{\text{A}}+\lambda {\psi }_{\text{B}}$ has to be normalized to $1$ in terms of the parameter $\lambda$ and the overlap integral $S$.

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.

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