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Lelek, Vladimír ; Wiesner, Jan
The form of discrete spectrum in the case of high singular potential. (English). Aplikace matematiky, vol. 16 (1971), issue 3, pp. 168-171
MSC: 34B30 | MR 0284638 | Zbl 0222.34021 | DOI: 10.21136/AM.1971.103342
Summary:
In the present paper the form of discrete spetrum for high-singular potential when solving the inverse problem of scattering is discussed on the basis of the results by Agronovich and Marchenko. It is proved that the number of dicrete spectrum points for potentials which are positive in the neighbourhood of the origin is finite.
References:
[1] 3. С. Агронович В. А. Марченко: Обратная задіга теории рассеяния. Харьков, 1960
[2] N. Limič: Nuovo Cimento 26 (1962), No 3, 581. DOI 10.1007/BF02771827 | MR 0147144
[3] Рофе-Бекетов, Христоф: ДАН СССР, 168 (1966), № 6, 1265-1268. MR 0194652 | Zbl 1155.78304
[4] И. M. Глазман: ДАН СССР, 80 (1951), № 1, 153-156. MR 0045910 | Zbl 1165.94313
[5] E. Kamke: Differentialgleichungen, Lösungsmethoden und Lösungen. Leipzig, 1959.
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