Threshold between short and long-range potentials for non-local Schrödinger operators

Atsuhide Ishida, Kazuyuki Wada

We develop scattering theory for non-local Schrödinger operators defined by functions of the Laplacian that include its fractional power $(-\Delta {)}^{\rho }$ with $0<\rho ⩽1$. In particula…