Geodesic
Relativistic three-body problem in a configuration representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 29-39
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A configuration representation is introduced in the relativistic three-body problem in the framework of the three-dimensional formulation of quantum field theory. Finite-difference analogs of the Schrödinger equations are obtained in relative variables. These equations are used to obtain a relativistic generalization of Faddeev's integral equations for the wave functions. Difficulties due to the integral nature of the relationships between the relative variables are noted. 
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V. M. Vinogradov. Relativistic three-body problem in a configuration representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 29-39. http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a2/

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

[2] A. N. Tavkhelidze, Lectures on Quasipotential Method in Field Theory, Tata Institute of Fundamental Research, Bombay, 1964

[3] V. G. Kadyshevskii, A. N. Tavkhelidze, Problemy teoreticheskoi fiziki, Sb., «Nauka», 1969 | MR

[4] V. A. Matveev, R. M. Muradyan, A. N. Tavkhelidze, Preprint P9-3900, OIYaI, 1968; А. Н. Квинихидзе, Д. Ц. Стоянов, ТМФ, 3 (1970), 332

[5] V. G. Kadyshevskii, ZhETF, 46 (1964), 645

[6] V. G. Kadyshevsky, Nucl. Phys., B6 (1968), 125 | DOI

[7] V. G. Kadyshevsky, R. M. Mir-Kasimov, N. B. Skachkov, Nuovo Cim., 55A (1968), 233 | DOI

[8] I. S. Shapiro, DAN SSSR, 106 (1956), 647 | Zbl

[9] V. G. Kadyshevskii, R. M. Mir-Kasimov, N. B. Skachkov, YaF, 9 (1969), 212 | MR

[10] V. G. Kadyshevskii, R. M. Mir-Kasimov, N. B. Skachkov, EChAYa, Sb., 2, no. 3, Atomizdat, 1971

[11] V. M. Vinogradov, TMF, 8 (1971), 343

[12] L. D. Faddeev, ZhETF, 39 (1960), 1459 ; Л. Д. Фаддеев, Тр. МИАН, 69, 1963 | MR | MR | Zbl

[13] V. M. Vinogradov, TMF, 10 (1972), 338

[14] V. M. Vinogradov, YaF, 14 (1971), 1091

[15] V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kasimov, YaF, 11 (1970), 692

[16] N. Ya. Vilenkin, Spetsialnye funktsii i teoriya predstavlenii grupp, «Nauka», 1965 | MR