Geodesic
Approximate solution of variable phase equation in the case of scattering on singular potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 400-405 
A. A. Atanasov. Approximate solution of variable phase equation in the case of scattering on singular potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 400-405. http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a10/
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     title = {Approximate solution of variable phase equation in the case of scattering on singular potentials},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A variable phase equation is obtained which is well suited for the problems with singular potentials. The method of formal series for solving this phase equation is applied. The solution is represented as a ratio of two Volterra series.

[1] A. A. Logunov, A. N. Tavkhelidze, Nuovo Cim., 29 (1963), 380 | DOI | MR

[2] A. T. Filippov, Phys. Lett., 8 (1964), 78 | DOI | MR

[3] B. A. Arbuzov, A. T. Filippov, O. A. Khrustalev, Phys. Lett., 8 (1964), 205 | DOI | MR

[4] M. Dubois Violette, Preprint Marselle, 69/P. 251, 1969

[5] M. Dubois Violette, J. Math. Phys., 11 (1970), 2539 | DOI | MR | Zbl

[6] F. M. Mors, G. Feshbakh, Metody teoreticheskoi fiziki, t. II, IL, 1960

[7] F. Kalodzhero, Metod fazovykh funktsii v teorii potentsialnogo rasseyaniya, «Mir», 1972