A Remark on Lp-Boundedness of Wave Operators¶for Two Dimensional Schrödinger Operators
- 100 Downloads
Let H=−Δ+V be a two dimensional Schrödinger operator with a real potential V(x) satisfying the decay condition \(\), δ > 6. Let H 0=−Δ. We show that the wave operators \(\) are bounded in L p (R 2) under the condition that H has no zero resonances or bound states. In this paper the condition \(\), imposed in a previous paper (K. Yajima, Commun. Math. Phys. 208, 125–152 (1999)), is removed.
KeywordsPotential Versus Wave Operator Decay Condition Zero Resonance Real Potential Versus
Unable to display preview. Download preview PDF.