Two-particle Coulomb Green's function in the momentum space with explicity separated singularities
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 339-349
S. A. Storozhenko; S. A. Shadchin. Two-particle Coulomb Green's function in the momentum space with explicity separated singularities. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 339-349. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a2/
@article{TMF_1988_76_3_a2,
     author = {S. A. Storozhenko and S. A. Shadchin},
     title = {Two-particle {Coulomb} {Green's} function in the momentum space with explicity separated singularities},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {339--349},
     year = {1988},
     volume = {76},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a2/}
}
TY  - JOUR
AU  - S. A. Storozhenko
AU  - S. A. Shadchin
TI  - Two-particle Coulomb Green's function in the momentum space with explicity separated singularities
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 339
EP  - 349
VL  - 76
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a2/
LA  - ru
ID  - TMF_1988_76_3_a2
ER  - 
%0 Journal Article
%A S. A. Storozhenko
%A S. A. Shadchin
%T Two-particle Coulomb Green's function in the momentum space with explicity separated singularities
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 339-349
%V 76
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a2/
%G ru
%F TMF_1988_76_3_a2

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

The problem of the Coulomb scattering of two charged particles with initial and final momenta off the energy shell is considered. For the case of positive energy a new analytic expression is obtained for the two-particle Coulomb Green's function in which all singularities with respect to the momentum transfer and the singularities in the neighborhood of the energy shell are explicitly separated.

[1] Faddeev L. D., ZhETF, 39:5(11) (1960), 1459–1467 | MR

[2] Noble J. V., Phys. Rev., 161:4 (1967), 945–955 | DOI

[3] Veselova A. M., TMF, 3:3 (1970), 326–331

[4] Veselova A. M., Trudy Mezhdunarodnogo simpoziuma po probleme neskolkikh tel v yadernoi fizike, Preprint D4-80-271, OIYaI, Dubna, 1980, S. 326–329.

[5] Okubo S., Feldman D., Phys. Rev., 117:1 (1960), 292–306 | DOI | MR

[6] Brattsev V. F., Trifonov E. D., Vestn. LGU, 16:3 (1962), 36–39 | Zbl

[7] Hostler L., J. Math. Phys., 5:9 (1964), 1235–1240 | DOI | MR

[8] Schwinger J., J. Math. Phys., 5:11 (1964), 1606–1608 | DOI | MR | Zbl

[9] Perelomov A. M., Popov V. S., ZhETF, 50:1 (1966), 179–198

[10] van Haeringen H., J. Math. Phys., 25:10 (1984), 3001–3032 | DOI | MR | Zbl

[11] Shadchin S. A., Kharchenko V. F., J. Phys., B16:7 (1983), 1319–1322

[12] Merkurev S. P., TMF, 32:2 (1977), 187–207 | MR

[13] Merkurev S. P., Faddeev L. D., Kvantovaya teoriya rasseyaniya dlya sistem neskolkikh chastits, Nauka, M., 1985 | MR

[14] Fock V. A., Z. Phys., 98 (1935), 145–154 | DOI

[15] Abramovits M., Stigan I. (red.), Spravochnik po spetsialnym funktsiyam, Nauka, M., 1979 | MR

[16] Scadron M., Weinberg S., Wright J., Phys. Rev., B135:1 (1964), 202–207 | DOI | MR

[17] Prudnikov A. P., Brychkov Yu. A., Marichev O. I., Integraly i ryady, Nauka, M., 1981 | MR | Zbl

[18] Landau L. D., Lifshits E. M., Kvantovaya mekhanika, Nauka, M., 1974 | MR

[19] Smirnov V. I., Kurs vysshei matematiki, t. II, Nauka, M., 1974 | MR

[20] Chen J. C. Y., Chen A. C., Advan. At. Mol. Phys., 8 (1972), 71–129 | DOI

[21] Kharchenko V. F., Shadchin S. A., Proc. of the X Europ. Symp. on the Dynamics of Few-Body Systems, Contributed Papers, CRIP, Budapest, 1985, 80–82