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\documentclass[12pt,a4paper]{report}
\usepackage{amsmath}
\usepackage[T1]{fontenc}
\usepackage{mathptmx}
\begin{document}
The Zeeman Hamiltonian can be written as
\begin{eqnarray}
\mathcal{H}_z &=& -{\mu . B} \\
&=& -\mu_z . B_z = -\hbar {I_z} \gamma B_0 = -\hbar \omega_0 {I_z},
\end{eqnarray}
\end{document}