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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     author = {V. M. Vinogradov},
     title = {Relativistic three-body problem in a configuration representation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {12},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a2/}
}
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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/