Tunneling Estimates for Two-Dimensional Perturbed Magnetic Dirac Systems

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

Annales Henri Poincaré Pub Date : 2024-09-05 DOI:10.1007/s00023-024-01480-9

Esteban Cárdenas, Benjamín Pavez, Edgardo Stockmeyer

引用次数: 0

Abstract

We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the decomposition \( H = H_0 + W\), where \(H_0 \) is a rotationally symmetric magnetic Dirac operator and W is a position-dependent matrix-valued potential satisfying certain smoothness condition in the angular variable. A consequence of our results are upper bounds for the growth in time of the expected size of the system and its total angular momentum.

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二维扰动磁性狄拉克系统的隧道估计值

我们证明了由于磁场的存在而在空间局部化的二维狄拉克系统的隧道估计。驱动运动的哈密顿分解为\( H = H_0 + W\) ，其中\(H_0 \)是旋转对称的磁性狄拉克算子，W 是与位置相关的矩阵势，满足角变量中的某些平滑条件。我们的结果是系统预期大小及其总角动量随时间增长的上限。

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.