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TMF, 1972, Volume 12, Number 1, Pages 29–39 (Mi tmf2962)  

This article is cited in 4 scientific papers (total in 4 papers)

Relativistic three-body problem in a configuration representation

V. M. Vinogradov


Abstract: 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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English version:
Theoretical and Mathematical Physics, 1972, 12:1, 638–645

Received: 13.05.1970

Citation: V. M. Vinogradov, “Relativistic three-body problem in a configuration representation”, TMF, 12:1 (1972), 29–39; Theoret. and Math. Phys., 12:1 (1972), 638–645

Citation in format AMSBIB
\Bibitem{Vin72}
\by V.~M.~Vinogradov
\paper Relativistic three-body problem in a configuration representation
\jour TMF
\yr 1972
\vol 12
\issue 1
\pages 29--39
\mathnet{http://mi.mathnet.ru/tmf2962}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 12
\issue 1
\pages 638--645
\crossref{https://doi.org/10.1007/BF01030038}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. N. Sokolov, “Example of a one-time many-particle relativistic wave equation”, Theoret. and Math. Phys., 18:1 (1974), 39–45  mathnet  crossref  mathscinet
    2. T. I. Kopaleishvili, A. I. Machavariani, “$\pi d$ scattering in the framework of three-particle relativistic equations”, Theoret. and Math. Phys., 30:2 (1977), 130–138  mathnet  crossref
    3. I. V. Amirkhanov, G. V. Grusha, R. M. Mir-Kassimov, “Three-dimensional formulation of the relativistic two-body problem in terms of rapidities”, Theoret. and Math. Phys., 30:3 (1977), 212–221  mathnet  crossref
    4. A. N. Safronov, “Three-dimensional manifestly Poincaré-invariant approach to relativistic three-body problem”, Theoret. and Math. Phys., 103:2 (1995), 502–524  mathnet  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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