通过两个光谱恢复等边量子树的形状

IF 0.8 3区数学 Q2 MATHEMATICS Integral Equations and Operator Theory Pub Date : 2024-03-27 DOI:10.1007/s00020-024-02759-6

Vyacheslav Pivovarchik

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摘要

我们展示了如何利用由 Sturm-Liouville 方程产生的 Neumann 和 Dirichlet 问题的频谱找到等边树的形状。对于雪花树，Neumann 和 Dirichlet 问题的频谱可以唯一地确定树的形状。

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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Recovering the Shape of an Equilateral Quantum Tree by Two Spectra

We show how to find the shape of an equilateral tree using the spectra of the Neumann and the Dirichlet problems generated by the Sturm–Liouville equation. In case of snowflake trees the spectra of the Neumann and Dirichlet problems uniquely determine the shape of the tree.

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来源期刊

Integral Equations and Operator Theory 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Integral Equations and Operator Theory (IEOT) is devoted to the publication of current research in integral equations, operator theory and related topics with emphasis on the linear aspects of the theory. The journal reports on the full scope of current developments from abstract theory to numerical methods and applications to analysis, physics, mechanics, engineering and others. The journal consists of two sections: a main section consisting of refereed papers and a second consisting of short announcements of important results, open problems, information, etc.