{"title":"Tight-binding investigation of the generalized Dirac comb","authors":"A. B. Mikhaylova","doi":"10.1109/DD.2000.902362","DOIUrl":null,"url":null,"abstract":"The problem of describing a negative spectrum of the periodic self-adjoint Schroedinger operator is very popular in quantum mechanics and it is called the tight-binding approximation. Our aim is to show that the main aspects of the theory are illustrated by a very simple one-dimensional example of minus the second derivative with arbitrary boundary conditions at the vertices of the lattice. We consider one-dimensional Schroedinger equation.","PeriodicalId":184684,"journal":{"name":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2000.902362","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The problem of describing a negative spectrum of the periodic self-adjoint Schroedinger operator is very popular in quantum mechanics and it is called the tight-binding approximation. Our aim is to show that the main aspects of the theory are illustrated by a very simple one-dimensional example of minus the second derivative with arbitrary boundary conditions at the vertices of the lattice. We consider one-dimensional Schroedinger equation.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
