A remark on Lp-boundedness of wave operators for two dimensional Schrodinger operators

被引：26
|
作者：
Jensen, A
Yajima, K
机构：
[1] Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo 1538914, Japan
[2] Aalborg Univ, Dept Math Sci, Aalborg, Denmark
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2002年 / 225卷 / 03期
关键词：
Potential Versus; Wave Operator; Decay Condition; Zero Resonance; Real Potential Versus;
D O I：
10.1007/s002200100603
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. © Springer-Verlag 2002.
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页码：633 / 637
页数：5
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