The magnetic Schrodinger operator is a Hamiltonian which appears in quantum mechanics, for instance in the study of bound states and scattering of particles. It also serves as a mathematical model for other situations, and understanding its properties has been instrumental in the study of various dispersive equations such as wave equation or Schrodinger equation. The direct or forward scattering problem related to this operator consists of proving existence and uniqueness of solution of the associated electromagnetic Helmholtz equation as well as of showing the existence of the scattering...