Geodesic
True many-particle scattering in the oscillator representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 2, pp. 227-248 
S. A. Zaytsev; Yu. F. Smirnov; A. M. Shirokov. True many-particle scattering in the oscillator representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 2, pp. 227-248. http://geodesic.mathdoc.fr/item/TMF_1998_117_2_a5/
@article{TMF_1998_117_2_a5,
     author = {S. A. Zaytsev and Yu. F. Smirnov and A. M. Shirokov},
     title = {True many-particle scattering in the oscillator representation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {227--248},
     year = {1998},
     volume = {117},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_117_2_a5/}
}
TY  - JOUR
AU  - S. A. Zaytsev
AU  - Yu. F. Smirnov
AU  - A. M. Shirokov
TI  - True many-particle scattering in the oscillator representation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1998
SP  - 227
EP  - 248
VL  - 117
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1998_117_2_a5/
LA  - ru
ID  - TMF_1998_117_2_a5
ER  - 
%0 Journal Article
%A S. A. Zaytsev
%A Yu. F. Smirnov
%A A. M. Shirokov
%T True many-particle scattering in the oscillator representation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 227-248
%V 117
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1998_117_2_a5/
%G ru
%F TMF_1998_117_2_a5

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

Scattering theory in the oscillator representation is generalized to true many-particle scattering.

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

[2] R. I. Dzhibuti, N. B. Krupennikova, Metod gipersfericheskikh funktsii v kvantovoi mekhanike neskolkikh tel, Metsniereba, Tbilisi, 1984 | MR | Zbl

[3] R. I. Dzhibuti, EChAYa, 14 (1983), 741

[4] A. M. Shirokov, “Democratic decay”, Proc. Int. Conf. Perspectives of Nucl. Phys. in the Late Nineties (Hanoi, Vietnam, March 14–18, 1994), eds. Nguyen Dinh Dang, Da Hsuan Feng, Nguyen Van Giai, Nguyen Dinh Tu, World Scientific, Singapore, 1995, 295

[5] B. V. Danilin, M. V. Zhukov, J. S. Vaagen, J. M. Bang, Phys. Lett. B, 302 (1993), 129 | DOI

[6] B. V. Danilin, T. Rogde, S. N. Ershov, H. Heiberg-Andersen, J. S. Vaagen, I. J. Thompson, M. V. Zhukov, Phys. Rev. C, 55 (1997), R577 | DOI

[7] D. V. Fedorov, A. S. Jensen, K. Riisager, Phys. Rev. C, 49 (1994), 201 | DOI

[8] Yu. F. Smirnov, Yu. A. Lurie, A. M. Shirokov, Rev. Mex. Fis. Supl. 1, 40 (1994), 63

[9] Yu. A. Lure, A. M. Shirokov, I. M. Bang, Izv. RAN. Ser. fiz., 61 (1997), 87 | MR

[10] Yu. A. Lure, A. M. Shirokov, Izv. RAN. Ser. fiz., 61 (1997), 2121

[11] S. A. Sofianos, S. A. Rakityansky, G. P. Vermaak, J. Phys. G, 23 (1997), 1619 | DOI | MR

[12] H. A. Yamani, L. Fishman, J. Math. Phys., 16 (1975), 410 | DOI

[13] J. T. Broad, Phys. Rev. A, 18 (1978), 1012 | DOI | MR

[14] G. F. Filippov, I. P. Okhrimenko, YaF, 32 (1980), 932; Г. Ф. Филиппов, ЯФ, 33 (1981), 928

[15] Yu. F. Smirnov, Yu. I. Nechaev, Kinam, 4 (1982), 445

[16] J. Revai, M. Sotona, J. Zofka, J. Phys. G, 11 (1985), 745 | DOI

[17] G. F. Filippov, V. S. Vasilevskii, A. V. Nesterov, YaF, 40 (1984), 1418

[18] I. P. Okhrimenko, Nucl. Phys. A, 426 (1984), 121 | DOI | MR

[19] G. F. Filippov, V. S. Vasilevskii, L. L. Chopovskii, EChAYa, 15 (1984), 1338; 16 (1985), 349

[20] G. F. Filippov, Riv. Nuovo Cimento, 12 (1989), 1 | DOI | MR

[21] V. A. Knyr, A. I. Mazur, Yu. F. Smirnov, YaF, 52 (1990), 754; 54 (1991), 1518; 56 (1993), 72 | MR

[22] Yu. F. Smirnov, A. M. Shirokov, Teoriya istinno mnogochastichnogo rasseyaniya v ostsillyatornom predstavlenii, Preprint ITF-88-47R, ITF, Kiev, 1988

[23] T. Ya. Mikhelashvili, Yu. F. Smirnov, A. M. Shirokov, YaF, 48 (1988), 969; T. Ya. Mikhelashvili, A. M. Shirokov, Yu. F. Smirnov, J. Phys. G, 16 (1990), 1241 | DOI

[24] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, T. 2, Nauka, M., 1974 | MR

[25] Yu. F. Smirnov, K. V. Shitikova, EChAYa, 8 (1977), 847 | MR

[26] Yu. F. Smirnov, S. K. Suslov, A. M. Shirokov, J. Phys. A, 17 (1984), 2157 | DOI | MR | Zbl

[27] P. A. Braun, A. M. Shirokov, Yu. F. Smirnov, Mol. Phys., 56 (1985), 573 | DOI

[28] E. Yanke, F. Emde, F. Lësh, Spetsialnye funktsii, Nauka, M., 1977

[29] A. A. Mirolyubov, M. A. Soldatov, Lineinye odnorodnye raznostnye uravneniya, Nauka, M., 1981 | MR | Zbl

[30] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1963 | MR

[31] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady. Spetsialnye funktsii, Nauka, M., 1983 | MR | Zbl

[32] J. T. Broad, W. P. Reinhardt, J. Phys. B, 9 (1976), 1491 | DOI

[33] A. F. Nikiforov, V. B. Uvarov, Spetsialnye funktsii matematicheskoi fiziki, Nauka, M., 1984 | MR

[34] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, T. 1, Nauka, M., 1973 | MR

[35] V. B. Uvarov, DAN SSSR, 125 (1959), 281 | MR | Zbl

[36] L. Dzh. Sleiter, Vyrozhdennye gipergeometricheskie funktsii, Vychislitelnyi tsentr AN SSSR, M., 1966 | MR

[37] U. Dzhouns, V. Tron, Nepreryvnye drobi. Analiticheskaya teoriya i prilozheniya, Mir, M., 1985 | MR