Recovering asymptotics of potentials from the scattering of relativistic Schrödinger operators

Gunther Uhlmann, Yiran Wang

We study the stationary scattering for $(-\hat{I}”{)}^{\frac{1}{2}}+V(x)$ on ${\mathbb{R}}^3$. For poly-homogeneous potentials decaying at infinity, we prove that the asymptotics of the poten…