Geodesic
Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 187-207 
S. P. Merkur'ev. Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 187-207. http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a3/
@article{TMF_1977_32_2_a3,
     author = {S. P. Merkur'ev},
     title = {Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a~system of three charged particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {187--207},
     year = {1977},
     volume = {32},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a3/}
}
TY  - JOUR
AU  - S. P. Merkur'ev
TI  - Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 187
EP  - 207
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a3/
LA  - ru
ID  - TMF_1977_32_2_a3
ER  - 
%0 Journal Article
%A S. P. Merkur'ev
%T Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 187-207
%V 32
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a3/
%G ru
%F TMF_1977_32_2_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

The method set forth in the present paper enables one to find the leading terms in the asymptotic behavior of wave functions. This gives one the possibility to describe the class of functions considered in the scattering problem before one investigates the integral equations.

[1] S. P. Merkurev, Preprint ITF-75-100R, Kiev, 1975; ЯФ, 24 (1976), 289

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

[3] V. S. Buslaev, M. M. Skriganov, TMF, 19 (1974), 217 | MR | Zbl

[4] S. P. Merkurev, TMF, 8 (1971), 235 ; Nucl. Phys., A233 (1974), 395 | DOI

[5] L. D. Faddeev, Tr. Matem. in-ta AN SSSR, 69, 1963 | MR | Zbl

[6] R. K. Peterkop, Izv. AN LatvSSR, 8 (1960), 79 ; ЖЭТФ, 43 (1962), 616 | MR

[7] L. Rosenberg, Phys. Rev., D8 (1973), 1833

[8] G. Beitman, A. Erdeii, Vysshie transtsendentnye funktsii, t. I, «Nauka», 1973 | MR

[9] V. A. Fok, Problemy difraktsii i rasprostraneniya elektromagnitnykh voln, «Sovetskoe radio», 1970

[10] J. B. Mcguire, J. Math. Phys., 5 (1964), 622 | DOI | MR | Zbl

[11] F. A. Berezin, G. P. Pokhil, V. M. Finkelberg, Vestn. MGU, 1 (1964), 21 | MR