一类新的Schrödinger哈密顿量的极限吸收原理

Q4 Mathematics

Confluentes Mathematici Pub Date : 2015-10-13 DOI:10.5802/CML.46

Alexandre Martin

引用次数: 10

摘要

我们证明了极限吸收原理，并讨论了一类欧几里德拉普拉斯$\Delta$的形式有界扰动解的边值的连续性，这些扰动涵盖了在无穷远处具有本质最优行为的短程和长距离势。

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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On the Limiting absorption principle for a new class of Schrödinger Hamiltonians

We prove the limiting absorption principle and discuss the continuity properties of the boundary values of the resolvent for a class of form bounded perturbations of the Euclidean Laplacian $\Delta$ that covers both short and long range potentials with an essentially optimal behaviour at infinity.

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来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.