$$
i\hbar\frac{\partial}{\partial t}\psi=-\frac{\hbar^2}{2m}\nabla^2\psi+V\psi
$$
\begin{eqnarray*}
\nabla\cdot\vec{E}&=&\frac{\rho}{\epsilon_0}\\
\nabla\cdot\vec{B}&=&0\\
\nabla\times\vec{E}&=&-\frac{\partial B}{\partial t}\\
\nabla\times\vec{B}&=&\mu_0\left(\vec{J}+\epsilon_0\frac{\partial E}{\partial t}\right)\\
\end{eqnarray*}