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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 1, Pages 20–26
(Mi tmf1563)
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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
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
Linking options:
https://www.mathnet.ru/eng/tmf1563 https://www.mathnet.ru/eng/tmf/v99/i1/p20
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