论一维狄拉克算子特征值的存在性

arXiv - MATH - Spectral Theory Pub Date : 2024-08-22 DOI:arxiv-2408.12697

Daniel Sánchez-Mendoza, Monika Winklmeier

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摘要

本文旨在研究存在有界势时一维狄拉克算子本征谱间隙中特征值的存在性。我们采用广义变分原理来证明这类特征值的存在性，估计有多少个特征值，并给出它们的上界和下界。

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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On the existence of eigenvalues of a one-dimensional Dirac operator

The aim of this paper is to study the existence of eigenvalues in the gap of the essential spectrum of the one-dimensional Dirac operator in the presence of a bounded potential. We employ a generalized variational principle to prove existence of such eigenvalues, estimate how many eigenvalues there are, and give upper and lower bounds for them.

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arXiv - MATH - Spectral Theory

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