Geodesic
Non-Euclidean momentum space and the two-body problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 3, pp. 360-369 
A. D. Donkov; V. G. Kadyshevskii; M. D. Mateev. Non-Euclidean momentum space and the two-body problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 3, pp. 360-369. http://geodesic.mathdoc.fr/item/TMF_1982_50_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of quantum field theory with de Sitter momentum space an equation of quasipotential type is obtairmd for a two-particle system. The equation is solved in the quasictassical approximation. By analogy with the ordinary approach, largeangle scattering is regarded as scattering by a smooth quasipotential in the region of classically forbidden angles.

[1] Kadyshevskii V. G., Kvantovaya teoriya polya s neevklidovym prostranstvom otnositelnykh impulsov, Preprint R2-5717, OIYaI, Dubna, 1971

[2] Kadyshevskii V. G., Problemy teoreticheskoi fiziki, Pamyati akad. I. E. Tamma, Nauka, M., 1972, 52–73 | MR

[3] Donkov A. D., Kadyshevskii V. G., Mateev M. D., Mir-Kasimov R. M., Bolgarskii fizicheskii zhurnal, 1 (1974), 58 ; 150 ; 233 ; 2 (1975), 3 ; Тр. МИАН СССР, 136 (1975), 85–129 | MR | MR | MR | MR | MR

[4] Mir-Kasimov R. M., Mezhdunarodnaya shkola molodykh uchenykh po fizike vysokikh energii, Preprint R1, 2-7642, OIYaI, Dubna, 1973

[5] Kadyshevskii V. G., Mateev M. D., Mir-Kasimov R. M., K resheniyu problemy kvantovaniya zaryada, Preprint E2-8892, OIYaI, Dubna, 1975

[6] Donkov A. D., Kadyshevskii V. G., Mateev M. D., Mir-Kasimov R. M., Nelokalnye, nelineinye i neperenormiruemye teorii, Soobschenie D2-9788, OIYaI, Dubna, 1976; Труды XVIII Международной конференции по физике высоких энергий, Тбилиси, Сообщение Д1-2-104000, ОИЯИ, Дубна, 1977

[7] Mateev M. D., X Mezhdunarodnaya shkola molodykh uchenykh po fizike vysokikh energii, Preprint D2-10533, OIYaI, Dubna, 1977

[8] Volobuev I. P., Kadyshevskii V. G., Mateev M. D., Mir-Kasimov R. M., TMF, 40:3 (1979), 363–372 | MR

[9] Matveev V. A., Muradyan R. M., Tavkhelidze A. N., Relyativistski-kovariantnye volnovye uravneniya dlya chastits v kvantovoi teorii polya, Preprint R2-3900, OIYaI, Dubna, 1968

[10] Bogolyubov P. N., TMF, 5:2 (1970), 244–255

[11] Todorov I. T., Phys. Rev., D3 (1971), 2351

[12] Logunov A. A., Tavkhelidze A. N., Nuovo Cim., 29 (1963), 330 | DOI | MR

[13] Kadyshevsky V. G., Nucl. Phys., B136 (1968), 125 | DOI

[14] Freeman M., Mateev M. D., Mir-Kasimov R. M., Nucl. Phys., B12 (1969), 197–215 | DOI

[15] Fronsdal C., Phys. Rev., 156 (1967), 1665 | DOI

[16] Brodsky S. J., Applications of the Instant Momentum Method to Quantum Electrodynamics and Bound State Problems, Preprint SLAC-PUB 1328, SLAC, Stanford, 1973

[17] Gross F., Phys. Rev., 186 (1969), 144 | DOI

[18] Kadyshevsky V. G., Mir-Kasimov R. M., Skachkov N. B., Nuovo Cim., A55 (1968), 233 | DOI

[19] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965 | MR

[20] Filippova L. A., Izv. AN Azerb. SSR, 30 (1974), 1

[21] Landau L. D., Lifshits E. M., Kvantovaya mekhanika, Izd. trete, pererab. i dop., Nauka, M., 1974 | MR

[22] Alliluiev S. P., Gerstein S. S., Logunov A. A., Phys. Lett., 75 (1965), 195 | DOI