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Particles and Nuclei pp 69–109Cite as

Three-Dimensional Formulation of the Relativistic Two-Body Problem

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Abstract

A quasipotential approach to the relativistic two-body problem is developed on the basis of the three-dimensional Hamiltonian formulation of quantum field theory. A relativistic configuration representation is introduced and studied on the basis of a decomposition with respect to matrix elements of irreducible unitary representations of the Lorentz group. A representation is obtained for the quasipotential scattering amplitude at high energies that generalizes the nonrelativistic eikonal formula.

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Authors
  1. V. G. Kadyshevskii
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  2. R. M. Mir-Kasimov
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  3. N. B. Skachkov
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Editors and Affiliations

  1. Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USSR

    N. N. Bogolyubov (Director) (Director)

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© 1973 Consultants Bureau

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Kadyshevskii, V.G., Mir-Kasimov, R.M., Skachkov, N.B. (1973). Three-Dimensional Formulation of the Relativistic Two-Body Problem. In: Bogolyubov, N.N., Baldin, A.M., Van Hieu, N., Solov’ev, V.G. (eds) Particles and Nuclei. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7550-0_3

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  • DOI: https://doi.org/10.1007/978-1-4684-7550-0_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-7552-4

  • Online ISBN: 978-1-4684-7550-0

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