Geodesic
Eigenvalues of the Dirac operator in the continuous spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 1, pp. 20-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. B. Khasanov. Eigenvalues of the Dirac operator in the continuous spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 1, pp. 20-26. http://geodesic.mathdoc.fr/item/TMF_1994_99_1_a2/

[1] Levitan B. M., Sargsyan I. S., Operatory Shturma–Liuvillya i Diraka, Nauka, M., 1988 | MR | Zbl

[2] Gasymov M. G., Levitan B. M., DAN SSSR, 167:5 | MR

[3] V. Neumann J., Wigner E., Phys. Zeit., 30 (1929), 465–467 | Zbl

[4] Gelfand I. M., Levitan B. M., Izv. AN SSSR, 15 (1951), 309–360 | MR | Zbl

[5] Kato T., Commun. Pure and Appl. Math., 12 (1959), 403 | DOI | MR | Zbl

[6] Simon B., Commun. Pure and Appl. Math., 22 (1969), 531 | DOI | MR | Zbl

[7] Eastham M. S., Mcleod L. B., Preprint University of Wisconsin. Math.research center, 1976

[8] Malozemov L. A., UMN, 43:4(262) (1988), 211–212 | MR | Zbl

[9] Khasanov A. B., Izv. AN UzSSR, 1990, no. 3, 41–47 | MR | Zbl

[10] Castillo R., Commun. Math. Phys., 142 (1991), 421 | DOI | MR | Zbl

[11] Skriganov M. M., Zap. nauchn. semin. LOMI, 38, 1973, 149–152 | MR | Zbl

[12] Matveev V. B., TMF, 15:3 (1973), 353–366 | MR

[13] Sapyanova L. A., Vestnik LGU, 1977, no. 7, 90–96 | Zbl

[14] Khasanov A. B., DAN UzSSR, 1989, no. 5, 8–11 | MR | Zbl