Geodesic
Model of free electrons and the scattering problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 257-268 Cet article a éte moissonné depuis la source Math-Net.Ru

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The model of free electrons is modified in such a way that one can describe in it the interaction of a molecule with the surrounding medium. The methods of scattering theory are used to investigate the asymptotic behavior of series of resonances. 
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B. S. Pavlov; M. D. Faddeev. Model of free electrons and the scattering problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 257-268. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a9/

[1] Laks P., Filipps R., Teoriya rasseyaniya, Mir, M., 1971 | MR

[2] Adamyan V. M., Arov D. Z., “Ob unitarnykh stsepleniyakh poluunitarnykh operatorov”, Matematicheskie issledovaniya, t. I, no. 2, Shtiintsa, Kishinev, 1966, 3–64 | MR

[3] Popov I. Yu., “O seriinoi strukture rezonansov dlya rasseyaniya na potentsialakh nulevogo radiusa”, Problemy matematicheskoi fiziki, no. 10, LGU, L., 1982