抄録
We develop scattering theory for non-local Schrödinger operators defined by functions of the Laplacian that include its fractional power (−Δ)ρ with 0 < ρ⩽ 1. In particular, our function belongs to a wider class than the set of Bernstein functions. By showing the existence and non-existence of the wave operators, we clarify the threshold between the short and long-range decay conditions for perturbational potentials.
| 本文言語 | English |
|---|---|
| 論文番号 | 32 |
| ジャーナル | Mathematical Physics Analysis and Geometry |
| 巻 | 23 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 1 9月 2020 |