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 TMF, 1975, Volume 22, Number 2, Pages 213–222 (Mi tmf3605)

Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in Lobachevskii space

N. B. Skachkov

Abstract: It is shown that the matrix elements of the relativistic scattering amplitude which correspond to one-boson exchange can be represented in the form of the direct geometrical generalization of quantum-mechanical potentials, obtained by means of replacement of euclidean quantities by their analogues in Lobachevskii space.

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English version:
Theoretical and Mathematical Physics, 1975, 22:2, 149–156

Citation: N. B. Skachkov, “Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in Lobachevskii space”, TMF, 22:2 (1975), 213–222; Theoret. and Math. Phys., 22:2 (1975), 149–156

Citation in format AMSBIB
\Bibitem{Ska75} \by N.~B.~Skachkov \paper Relativistic one-boson exchange amplitudes as potentials of quantum mechanics in Lobachevskii space \jour TMF \yr 1975 \vol 22 \issue 2 \pages 213--222 \mathnet{http://mi.mathnet.ru/tmf3605} \transl \jour Theoret. and Math. Phys. \yr 1975 \vol 22 \issue 2 \pages 149--156 \crossref{https://doi.org/10.1007/BF01036319} 

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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. N. B. Skachkov, “Asymptotic behavior of form factors and invariant description of the spatial structure of particles”, Theoret. and Math. Phys., 25:3 (1975), 1154–1163
2. N. B. Skachkov, I. L. Solovtsov, “Covariant three-dimensional formulation of the composite quark model of mesons”, Theoret. and Math. Phys., 41:2 (1979), 977–986
3. A. V. Sidorov, N. B. Skachkov, “Description of the widths and spectra of the bound states of two relativistic fermions”, Theoret. and Math. Phys., 46:2 (1981), 141–149
4. 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
5. Fialka S.I. Kapshai V.N. Grishechkin Y.A., “An Approximate Solution Method For the Quasipotential Equations With Local Spin-Orbital Potentials”, Frontiers in Theoretical and Applied Physics/Uae 2017 (Ftaps 2017), Journal of Physics Conference Series, 869, ed. Alnaser A. Allen R. Lidstrom S. AbdelNaby S. Syed R. Sakhi S. Salamin Y. Egilmez M. ElKhatib S. Hamdan N. Guessoum N. Majeed T., IOP Publishing Ltd, 2017
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