Optimization of Quantum Graph Eigenvalues with Preferred Orientation Vertex Conditions

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

Annales Henri Poincaré Pub Date : 2025-04-23 DOI:10.1007/s00023-025-01574-y

Pavel Exner, Jonathan Rohleder

引用次数: 0

Abstract

We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs, we determine, under the condition of a fixed total edge length, the configurations for which the ground state eigenvalue is maximized. Furthermore, for general finite metric graphs, we provide upper bounds for all eigenvalues.

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优选方向顶点条件下量子图特征值的优化

讨论了具有顶点耦合违反时间反转不变性的有限度量图上的拉普拉斯谱。对于一类星图，在总边长固定的条件下，我们确定了基态特征值最大的构型。此外，对于一般有限度量图，我们给出了所有特征值的上界。

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.