Scattering theory for the Schrodinger equation with repulsive potential

Jean-Francois Bony, Remi Carles, Dietrich Haefner +1

We consider the scattering theory for the Schrodinger equation with $-\Delta -|x{|}^{\alpha }$ as a reference Hamiltonian, for $0<\alpha \le 2$, in any space dimension. We prove that when this Hamilto…