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TMF, 1976, Volume 28, Number 3, Pages 352–358 (Mi tmf4271)  

Real and complex “boosts” in arbitrary pseudo-Euclidean spaces

A. N. Tarakanov


Abstract: For a special choice of the parameter matrices, pseudo-orthogonal and pseudounitary transformations are represented in the form of polynomials of second degree in these matrices. The connection between the transformation parameters and generalized velocities in the case of subluminal and superluminal generalized velocities is established. The resulting transformations are a generalization of Lorentz transformations describing pure motion to arbitrary real and complex pseudo-Euclidean spaces. The law of composition of the generalized velocities is found.

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English version:
Theoretical and Mathematical Physics, 1976, 28:3, 838–842

Bibliographic databases:

Received: 22.07.1975

Citation: A. N. Tarakanov, “Real and complex “boosts” in arbitrary pseudo-Euclidean spaces”, TMF, 28:3 (1976), 352–358; Theoret. and Math. Phys., 28:3 (1976), 838–842

Citation in format AMSBIB
\Bibitem{Tar76}
\by A.~N.~Tarakanov
\paper Real and complex ``boosts'' in arbitrary pseudo-Euclidean spaces
\jour TMF
\yr 1976
\vol 28
\issue 3
\pages 352--358
\mathnet{http://mi.mathnet.ru/tmf4271}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=487933}
\zmath{https://zbmath.org/?q=an:0334.22014}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 28
\issue 3
\pages 838--842
\crossref{https://doi.org/10.1007/BF01029176}


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  • http://mi.mathnet.ru/eng/tmf/v28/i3/p352

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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