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Teoreticheskaya i Matematicheskaya Fizika, 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
References:
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, Volume 99, Issue 1, Pages 396–401
DOI: https://doi.org/10.1007/BF01018793
Bibliographic databases:
Language: Russian
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://mathscinet.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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PU13400002}
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