  We study the inverse problem of determining the vector and scalar potentials
$\mathcal{A}(t,x)=\left(A_{0},A_{1},\cdots,A_{n}\right)$ and $q(t,x)$,
respectively, in the relativistic Schr\"odinger equation
  \begin{equation*}
  \Big{(}\left(\partial_{t}+A_{0}(t,x)\right)^{2}-\sum_{j=1}^{n}\left(\partial_{j}+A_{j}(t,x)\right)^{2}+q(t,x)\Big{)}u(t,x)=0
  \end{equation*}
  in the region $Q=(0,T)\times\Omega$, where $\Omega$ is a $C^{2}$ bounded
domain in $\mathbb{R}^{n}$ for $n\geq 3$ and $T>\mbox{diam}(\Omega)$ from
partial data on the boundary $\partial Q$. We prove the unique determination of
these potentials modulo a natural gauge invariance for the vector field term.
