The scattering of fractional Schrödinger operators with short range potentials

Rui Zhang, Tianxiao Huang, Quan Zheng

For any positive real number $s$, we study the scattering theory in a unified way for the fractional Schrödinger operator $H=H_0+V$, where $H_0=(-\Delta {)}^{\frac{s}{2}}$ and the real-valued p…