论单信道单元算子的绝对连续谱

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

Letters in Mathematical Physics Pub Date : 2024-10-10 DOI:10.1007/s11005-024-01866-0

Olivier Bourget, Gregorio Moreno, Christian Sadel, Amal Taarabt

引用次数: 0

摘要

在本文中，我们发展了单道算子的径向转移矩阵形式主义。这概括了以前的 CMV 矩阵和散射拉链形式主义。我们建立了卡莫纳公式的类似公式，并推导出绝对连续谱的标准，将其应用于周期性散射拉链的随机希尔伯特-施密特扰动。

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 absolutely continuous spectrum for one-channel unitary operators

In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We establish an analog of Carmona’s formula and deduce criteria for absolutely continuous spectrum which we apply to random Hilbert Schmidt perturbations of periodic scattering zippers.

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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.