Geodesic
Analytic structure of the $S$ matrix for some classes of potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 214-219 
M. V. Nikolaev; V. S. Ol'khovskii. Analytic structure of the $S$ matrix for some classes of potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 2, pp. 214-219. http://geodesic.mathdoc.fr/item/TMF_1977_31_2_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Using the properties of the Jost functions and their generalisations introduced in this article, mathematical properties and singularities of $S$-matrix of the elastic scattering are studied for local hard-core, non-local separable, complex local and non-local separable hard-core potentials.

[1] R. Nyuton, Teoriya rasseyaniya voln i chastits, «Mir», 1969 | MR

[2] N. G. Van Kampen, Phys. Rev., 91 (1953), 1267 | DOI | Zbl

[3] V. S. Olkhovskii, TMF, 20 (1974), 211

[4] M. Coz, L. C. Arnold, A. D. Mackellar, Ann. Phys., 59 (1970), 219 | DOI | MR

[5] M. V. Nikolayev, V. S. Olkhovsky, Lett. Nuovo Cim., 8 (1973), 703 | DOI

[6] V. A. Plyuiko, V. S. Olkhovskii, M. V. Nikolaev, Visnik Kiïvskogo derzh. univ., ser. fiz., 15 (1974), 42

[7] M. Bertero, D. Dillon, Nuovo Cim., 2A (1971), 1024 | DOI | MR

[8] B. Ya. Levin, Tselye funktsii, kurs lektsii, MGU, 1971

[9] A. Pfluger, Commun. Math. Helv., 16 (1943), 1 | DOI | MR | Zbl

[10] M. Bertero, L. Talenti, G. A. Viano, Nuovo. Cim., 46A (1966), 337 | DOI

[11] M. A. Naimark, Tr. Mosk. matem. ob-va, 3 (1954), 181 | MR | Zbl