Geodesic
Resonances in the scattering problem for a Sturm–Liouville operator
Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 319-328 
A. A. Arsen'ev. Resonances in the scattering problem for a Sturm–Liouville operator. Sbornik. Mathematics, Tome 191 (2000) no. 3, pp. 319-328. http://geodesic.mathdoc.fr/item/SM_2000_191_3_a0/
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     title = {Resonances in the~scattering problem for {a~Sturm{\textendash}Liouville} operator},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An example of a Sturm–Liouville operator is presented for which the solution of the corresponding scattering problem has a resonance character.

[1] Arsenev A. A., “Rezonansnye svoistva matritsy rasseyaniya dlya odnomernogo operatora Shredingera s lovushechnym potentsialom”, Matem. sb., 187:6 (1996), 3–20 | MR | Zbl

[2] Danford N., Shvarts Dzh. T., Lineinye operatory, T. 2, Mir, M., 1966

[3] Arsenev A. A., “Otsenka resheniya zadachi rasseyaniya na odnomernom lovushechnom potentsiale”, Matem. sb., 188:12 (1997), 3–10 | MR | Zbl

[4] Arsenev A. A., “Nekotorye voprosy spektralnoi teorii operatora Shredingera, svyazannye s matematicheskoi modelyu tunnelnogo dioda”, Matem. modelirovanie, 7:9 (1995), 79–116 | MR | Zbl