A Mathematical Model of Resonance Scattering
Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 491-502.

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In this paper, a mathematical model for generating jumps of the amplitude of scattering near a pole of the scattering matrix with small imaginary part is proposed.
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A. A. Arsen'ev. A Mathematical Model of Resonance Scattering. Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 491-502. http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a1/

[1] Baz A. I., Zeldovich Ya. B., Perelomov A. M., Rasseyanie, reaktsii i raspady v nerelyativistkoi kvantovoi mekhanike, Nauka, M., 1971 | Zbl

[2] Birman M. Sh., Entina S. B., “Statsionarnyi podkhod v abstraktnoi teorii rasseyaniya”, Izv. AN SSSR. Ser. matem., 31 (1967), 401–430 | MR | Zbl

[3] Yafaev D. R., Matematicheskaya teoriya rasseyaniya, Izd-vo S.-Peterburgskogo un-ta, S.-Pb., 1994

[4] Howland J. S., “The Livsic matrix in perturbation theory”, J. of Math. Anal. Appl., 101 (1984), 491–513 | DOI | MR

[5] Albeverio S., Hoegh-Kron R., “Perturbations of resonances in quantum mechanics”, J. Math. Anal. Appl., 101 (1984), 491–513 | DOI | MR | Zbl

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

[7] Arsen'ev A. A., Model of Resonance Scattering, Preprint No. 2000:15, Department of Math., Chalmers Univ. of Technology and Göteborg University, 2000