具有非局部势的离散Schrödinger算子的负特征值

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-04-08 DOI:10.56017/2181-1318.1052

Z. Muminov, Sh. S. Lakaev

{"title":"具有非局部势的离散Schrödinger算子的负特征值","authors":"Z. Muminov, Sh. S. Lakaev","doi":"10.56017/2181-1318.1052","DOIUrl":null,"url":null,"abstract":"On the d-dimensional lattice Zd, d = 1, 2 the discrete Schrödinger operator Hλμ with non-local potential constructed via the Dirac delta function and shift operator is considered. The dependency of negative eigenvalues of the operator on the parameters is explicitly derived.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On negative eigenvalues of the discrete Schrödinger operator with non-local potential\",\"authors\":\"Z. Muminov, Sh. S. Lakaev\",\"doi\":\"10.56017/2181-1318.1052\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"On the d-dimensional lattice Zd, d = 1, 2 the discrete Schrödinger operator Hλμ with non-local potential constructed via the Dirac delta function and shift operator is considered. The dependency of negative eigenvalues of the operator on the parameters is explicitly derived.\",\"PeriodicalId\":127023,\"journal\":{\"name\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56017/2181-1318.1052\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56017/2181-1318.1052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

摘要

在d维晶格Zd, d = 1,2上，考虑了由Dirac函数和移位算子构造的具有非局域势的离散Schrödinger算子Hλμ。导出了算子的负特征值对参数的依赖关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On negative eigenvalues of the discrete Schrödinger operator with non-local potential

On the d-dimensional lattice Zd, d = 1, 2 the discrete Schrödinger operator Hλμ with non-local potential constructed via the Dirac delta function and shift operator is considered. The dependency of negative eigenvalues of the operator on the parameters is explicitly derived.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

自引率

0.00%

发文量