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TMF, 1994, Volume 99, Number 1, Pages 75–80 (Mi tmf1567)  

Generalized Kustaanheimo–Stiefel transformations

L. I. Komarov, Le Van Hoang

Belarusian State University

Abstract: In this paper the theory of constructing the generalized KS transformations is given for the Kepler problem dimensions $q+1$ ($q=2^h$, $h=0,1,2,…$). The following theorem is proved: The connection between the Kepler problem in $(q+1)$-dimensional real space and the problem of an isotropic harmonic oscillator in real space of dimension $N$ exists and can be established by using the generalized KS transformations only for the cases, when $N=2q$ and $q=2^h$ ($h=0,1,2,…$). A simple graphic method of constructing the generalized KS transformations realizing this connection is also suggested.

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English version:
Theoretical and Mathematical Physics, 1994, 99:1, 437–440

Bibliographic databases:

Received: 30.12.1992

Citation: L. I. Komarov, Le Van Hoang, “Generalized Kustaanheimo–Stiefel transformations”, TMF, 99:1 (1994), 75–80; Theoret. and Math. Phys., 99:1 (1994), 437–440

Citation in format AMSBIB
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\by L.~I.~Komarov, Le Van Hoang
\paper Generalized Kustaanheimo--Stiefel transformations
\jour TMF
\yr 1994
\vol 99
\issue 1
\pages 75--80
\mathnet{http://mi.mathnet.ru/tmf1567}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1302460}
\zmath{https://zbmath.org/?q=an:0851.70007}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 1
\pages 437--440
\crossref{https://doi.org/10.1007/BF01018797}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1994PU13400006}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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