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TMF, 1994, Volume 99, Number 1, Pages 20–26 (Mi tmf1563)  

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
$$ \begin {gathered} Dy=\begin {pmatrix}0&1-1&0\end{pmatrix} \frac {dy}{dx}+\begin {pmatrix}p(x)&q(x)q(x)&-p(x)\end{pmatrix} y=\lambda y,y=\begin {pmatrix}y_1y_2\end{pmatrix} ,\qquad y_1(0)=0 \end {gathered} $$
has the counted number of eigenvalues located on the continuous spectrum are built.

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

Bibliographic databases:

Received: 30.12.1992

Citation: A. B. Khasanov, “Eigenvalues of the Dirac operator in the continuous spectrum”, TMF, 99:1 (1994), 20–26; Theoret. and Math. Phys., 99:1 (1994), 396–401

Citation in format AMSBIB
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\by A.~B.~Khasanov
\paper Eigenvalues of the Dirac operator in the continuous spectrum
\jour TMF
\yr 1994
\vol 99
\issue 1
\pages 20--26
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1302456}
\zmath{https://zbmath.org/?q=an:0849.34071}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 1
\pages 396--401
\crossref{https://doi.org/10.1007/BF01018793}
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