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.

引用

页码：633 / 637

页数：5

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