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Eigenvalues of the Dirac operator in the continuous spectrum
Authors:A. B. Khasanov
Abstract:Functionsp(x) andq(x) for which the Dirac operator $$Dy = left( {begin{array}{*{20}c} {begin{array}{*{20}c} 0 { - 1} end{array} } & {begin{array}{*{20}c} 1 0 end{array} } end{array} } right)frac{{dy}}{{dx}} + left( {begin{array}{*{20}c} {p(x) q(x)} {q(x) - p(x)} end{array} } right)y = lambda y, y = left( {begin{array}{*{20}c} {y_1 } {y_2 } end{array} } right), y_1 (0) = 0,$$ has a countable number of eigenvalues in the continuous spectrum are constructed.
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