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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 7, Number 3, Pages 289–297 (Mi tmf4311)  
This article is cited in 4 scientific papers (total in 4 papers)

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

V. M. Vinogradov
Full-text PDF (791 kB) Citations (4)
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Abstract: The relativistic two-body problem is considered in an arbitrary frame of reference on the basis of the three-dimensional formulation of quantum field theory. Relative momenta are introduced by means of an addition operation in Lobachevskii space; it is shown the center of mass motion can then be separated and the problem formulated in a single-particle form. This makes it possible to formulate the quasipotential approach in a covariant form mad introduce a relativistic configuration space. This approach is compared with the analogous formulation of the nonrelativistic problem.
Received: 19.05.1970
English version:
Theoretical and Mathematical Physics, 1971, Volume 7, Issue 3, Pages 539–545
DOI: https://doi.org/10.1007/BF01032072
Bibliographic databases:
Language: Russian
Citation: V. M. Vinogradov, “Three-dimensional covariant formulation of the two-body problem in quantum field theory”, TMF, 7:3 (1971), 289–297; Theoret. and Math. Phys., 7:3 (1971), 539–545
Citation in format AMSBIB
\Bibitem{Vin71}
\by V.~M.~Vinogradov
\paper Three-dimensional covariant formulation of the two-body problem in quantum field theory
\jour TMF
\yr 1971
\vol 7
\issue 3
\pages 289--297
\mathnet{http://mi.mathnet.ru/tmf4311}
\zmath{https://zbmath.org/?q=an:0212.12704}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 7
\issue 3
\pages 539--545
\crossref{https://doi.org/10.1007/BF01032072}
Linking options:
  • https://www.mathnet.ru/eng/tmf4311
  • https://www.mathnet.ru/eng/tmf/v7/i3/p289
    • This publication is cited in the following 4 articles:
    1. N. B. Skachkov, I. L. Solovtsov, “Relativistic wave functions for a system of two spin $1/2$ quarks in a model with chromodynamic interaction”, Theoret. and Math. Phys., 54:2 (1983), 116–122  mathnet  crossref  isi
    2. N. B. Skachkov, I. L. Solovtsov, “Description of the form factor of a relativistic two-particle system in the covariant Hamiltonian formulation of quantum field theory”, Theoret. and Math. Phys., 43:3 (1980), 494–502  mathnet  crossref  mathscinet  isi
    3. V. M. Vinogradov, “Relativistic three-body problem in relative variables”, Theoret. and Math. Phys., 10:3 (1972), 225–233  mathnet  crossref
    4. V. M. Vinogradov, “Three-dimensional covariant formulation of the three-body problem in quantum field theory”, Theoret. and Math. Phys., 8:3 (1971), 876–884  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:325
    Full-text PDF :118
    References:42
    First page:1
     
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