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Eigenfunction Expansion Of Dirac Problem With Eigenparameters Boundary Conditions

Posted on:2009-10-14Degree:MasterType:Thesis
Country:ChinaCandidate:Q S DanFull Text:PDF
GTID:2190360302977214Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
By resorting to the residue method,The basic properties of eigenvalue problem and the expansion theorem of the Dirac equation B(?)+ P(x)y-λy with boundary conditions y2(0) =0,ay1(π) +λy2(π) = 0 are proved.Let B = (?), p(x)and r(x)are real continuous function.first,the existence and the numeral of eigenvalue aer proved by the zero point existence ofentire function t[φ] then.we can prove the expansion theorem by the residue method.
Keywords/Search Tags:Dirac operator, residue method, Green function, eigenvalue, eigenfunction
PDF Full Text Request
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