English

On inverse problems in electromagnetic field in classical mechanics at fixed energy

Mathematical Physics 2007-07-31 v1 math.MP

Abstract

In this paper, we consider inverse scattering and inverse boundary value problems at sufficiently large and fixed energy for the multidimensional relativistic and nonrelativistic Newton equations in a static external electromagnetic field (V,B)(V,B), VC2,V\in C^2, BC1B\in C^1 in classical mechanics. Developing the approach going back to Gerver-Nadirashvili 1983's work on an inverse problem of mechanics, we obtain, in particular, theorems of uniqueness.

Keywords

Cite

@article{arxiv.math-ph/0701008,
  title  = {On inverse problems in electromagnetic field in classical mechanics at fixed energy},
  author = {Alexandre Jollivet},
  journal= {arXiv preprint arXiv:math-ph/0701008},
  year   = {2007}
}
R2 v1 2026-07-22T16:28:59.169Z