The structure of the wave operator in four dimensions in the presence of resonances

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-10-19 DOI:10.1007/s11005-024-01868-y

Angus Alexander, Adam Rennie

引用次数: 0

Abstract

We show that the wave operators for Schrödinger scattering in \(\mathbb {R}^4\) have a particular form which depends on the existence of resonances. As a consequence of this form, we determine the contribution of resonances to the index of the wave operator.

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存在共振的四维波算子结构

我们证明了薛定谔散射在\(\mathbb {R}^4\)中的波算子有一种取决于共振存在的特殊形式。作为这种形式的结果，我们确定了共振对波算子指数的贡献。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.