{"title":"On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions","authors":"A. S. Makin","doi":"10.1134/s0012266124020022","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider the spectral problem for the Dirac operator with arbitrary two-point boundary\nconditions and any square integrable potential <span>\\(V\\)</span>. Necessary and\nsufficient conditions for an entire function to be the characteristic determinant of such an operator\nare established. In the case of irregular boundary conditions, conditions are found under which a\nset of complex numbers is the spectrum of the problem under consideration.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124020022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the spectral problem for the Dirac operator with arbitrary two-point boundary
conditions and any square integrable potential \(V\). Necessary and
sufficient conditions for an entire function to be the characteristic determinant of such an operator
are established. In the case of irregular boundary conditions, conditions are found under which a
set of complex numbers is the spectrum of the problem under consideration.
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
