This article is cited in 1 paper

Eigenvalues of the Dirac operator in the continuous spectrum

A. B. Khasanov

Samarkand State Institute of Architecture and Construction

Abstract: The functions $p(x)$ and $q(x)$ for which the Dirac operator
$$ \begin {gathered} Dy=\begin {pmatrix}0&1\\ -1&0\end{pmatrix} \frac {dy}{dx}+\begin {pmatrix}p(x)&q(x)\\ q(x)&-p(x)\end{pmatrix} y=\lambda y,\\ y=\begin {pmatrix}y_1\\ y_2\end{pmatrix} ,\qquad y_1(0)=0 \end {gathered} $$
has the counted number of eigenvalues located on the continuous spectrum are built.

Received: 30.12.1992

 English version: Theoretical and Mathematical Physics, 1994, 99:1, 396–401

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