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TMF, 1971, Volume 8, Number 3, Pages 343–353 (Mi tmf4411)  

This article is cited in 9 scientific papers (total in 9 papers)

Three-dimensional covariant formulation of the three-body problem in quantum field theory

V. M. Vinogradov


Abstract: A three-dimensional formulation of quantum field theory is used to obtain the relativistic analog of Faddeev's equations for the scattering amplitude. The equations satisfy threeparticle unitarity and the correspondence principle.

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English version:
Theoretical and Mathematical Physics, 1971, 8:3, 876–884

Received: 13.05.1970

Citation: V. M. Vinogradov, “Three-dimensional covariant formulation of the three-body problem in quantum field theory”, TMF, 8:3 (1971), 343–353; Theoret. and Math. Phys., 8:3 (1971), 876–884

Citation in format AMSBIB
\Bibitem{Vin71}
\by V.~M.~Vinogradov
\paper Three-dimensional covariant formulation of the three-body problem in quantum field theory
\jour TMF
\yr 1971
\vol 8
\issue 3
\pages 343--353
\mathnet{http://mi.mathnet.ru/tmf4411}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 8
\issue 3
\pages 876--884
\crossref{https://doi.org/10.1007/BF01029343}


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  • http://mi.mathnet.ru/eng/tmf/v8/i3/p343

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. M. Vinogradov, “Relativistic three-body problem in a configuration representation”, Theoret. and Math. Phys., 12:1 (1972), 638–645  mathnet  crossref
    2. V. M. Vinogradov, “Relativistic three-body problem in relative variables”, Theoret. and Math. Phys., 10:3 (1972), 225–233  mathnet  crossref
    3. A. A. Arkhipov, V. I. Savrin, “One-time equation for three-particle system in quantum field theory”, Theoret. and Math. Phys., 16:3 (1973), 871–878  mathnet  crossref
    4. 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
    5. A. A. Arkhipov, A. A. Logunov, V. I. Savrin, “Equation for density matrix and scaling properties of the inclusive cross section”, Theoret. and Math. Phys., 26:3 (1976), 195–204  mathnet  crossref
    6. A. N. Kvinikhidze, V. A. Matveev, A. N. Tavkhelidze, A. A. Khelashvili, “Spectral and projection properties of “two-time” Green's functions of $n$ particles in null-plane quantum field theory”, Theoret. and Math. Phys., 29:1 (1976), 891–901  mathnet  crossref
    7. V. R. Garsevanishvili, “Scattering of composite particles”, Theoret. and Math. Phys., 29:1 (1976), 927–931  mathnet  crossref
    8. 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
    9. A. N. Kvinikhidze, A. M. Khvedelidze, “Pair-interaction approximation in the equations of quantum field theory for a four-body system”, Theoret. and Math. Phys., 90:1 (1992), 62–74  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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