The Rotation Number for Almost Periodic Potentials with Jump Discontinuities and $\delta $-Interactions

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2023-12-22 DOI:10.1007/s00023-023-01404-z

David Damanik, Meirong Zhang, Zhe Zhou

引用次数: 0

Abstract

We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuities and $\delta $-interactions. For operators of this kind, we introduce a rotation number in the spirit of Johnson and Moser. To do this, we introduce the concept of almost periodicity at a rather general level, and then the almost periodic function with jump discontinuities and $\delta $-interactions as an application.

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具有跃迁不连续和 $$\delta $$ 相互作用的几乎周期势的旋转数

我们考虑具有广义几乎周期势的一维薛定谔算子，它们具有跳跃不连续性和（\delta \）相互作用。对于这类算子，我们按照约翰逊和莫泽的精神引入了旋转数。为此，我们在一个相当一般的层面上引入了几乎周期性的概念，然后将具有跳跃不连续和（\delta \）相互作用的几乎周期函数作为一个应用。

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

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.

The Rotation Number for Almost Periodic Potentials with Jump Discontinuities and \(\delta \)-Interactions

Abstract