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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 11, Number 2, Pages 206–212 (Mi tmf2848)  

This article is cited in 1 scientific paper (total in 1 paper)

On the integration of infinitesimal transformations of the relativistic quasiexchange group

G. Yu. Bogoslovskii
Full-text PDF (677 kB) Citations (1)
References:
Abstract: Finite transformations of the one-parumetric relativistic quasiexchange group are found by integrating the nonlinear differential equations that define the infinitesimal transformations of this group. The elements of the quasiexchange group are transformations of the relative momenta $\mathbf{q}$ and $\mathbf{p}$ of three identical relativistic particles that leave invariant the equation $E=\sqrt{\mathbf{p}^2+m^2}+\sqrt{\mathbf{p}^2+4\mathbf{q}^2+4m^2}$ of the energy surface and the element of the three particle phase volume. The group elements are expressed as a function of the parameter $\varphi$ in terms of elliptic Jaeobi functions. In the nonrelativistic ease the latter go over into ordinary trigonometric functions and the finite transformation reduce to a linear representation of the corresponding subgroup of $SO_6$.
Received: 31.03.1971
English version:
Theoretical and Mathematical Physics, 1972, Volume 11, Issue 2, Pages 454–459
DOI: https://doi.org/10.1007/BF01028560
Language: Russian
Citation: G. Yu. Bogoslovskii, “On the integration of infinitesimal transformations of the relativistic quasiexchange group”, TMF, 11:2 (1972), 206–212; Theoret. and Math. Phys., 11:2 (1972), 454–459
Citation in format AMSBIB
\Bibitem{Bog72}
\by G.~Yu.~Bogoslovskii
\paper On the integration of infinitesimal transformations of the relativistic quasiexchange group
\jour TMF
\yr 1972
\vol 11
\issue 2
\pages 206--212
\mathnet{http://mi.mathnet.ru/tmf2848}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 11
\issue 2
\pages 454--459
\crossref{https://doi.org/10.1007/BF01028560}
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  • https://www.mathnet.ru/eng/tmf/v11/i2/p206
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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