ABSTRACT
We study the inverse problem of determining the vector and scalar potentials and , respectively, in the relativistic Schrödinger equation in the region , where Ω is a bounded domain in for and from partial data on the boundary . We prove the unique determination of these potentials modulo a natural gauge invariance for the vector field term.
Acknowledgments
The authors thank Plamen Stefanov and Siamak RabieniaHaratbar for very useful discussions regarding the light ray transform. MV thanks Gen Nakamura and Guang-Hui Hu for discussions on this problem.
Disclosure statement
No potential conflict of interest was reported by the authors.
Notes
1 We thank Plamen Stefanov for drawing our attention to the results of this paper.