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Local Borg-Marchenko Uniqueness Theorem Of Matrix-type And Its Extension

Posted on:2022-05-25Degree:MasterType:Thesis
Country:ChinaCandidate:Z F ZhangFull Text:PDF
GTID:2480306341496884Subject:Biology
Abstract/Summary:PDF Full Text Request
The inverse spectrum problem of the Dirac-type operator arises from the problem of finding the internal force of atoms from energy in quantum mechanics,and is widely used in meteorology,electronics,geophysics and other fields.This paper mainly uses the Weyl-Titchmarsh function to explore the uniqueness of the matrix-type Dirac-type operator inverse spectrum problem.The main work is summarized as follows:Chapter 1:The research background and significance of Dirac-type operator,the research status of inverse spectral theory of differential operators are discribed,and give the main theorems of this article.Chapter 2:Briefly review the Weyl-Titchmarsh theory of matrix Dirac-type operators defined in the interval[0,b)(0
Keywords/Search Tags:Dirac-type operator, Inverse spectral theory, Weyl-Titchmarsh matrix, Uniqueness result, High-energy expansion
PDF Full Text Request
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