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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 252, Pages 142–148 (Mi znsl698)  
Rotation of the one-dimensional direction in the physical space for a periodic particle

S. E. Kozlov

Saint-Petersburg State University
Full-text PDF (153 kB)
Abstract: We give an invariant definition of the world line (of a particle) in Minkowski space corresponding to a periodic motion of a particle in physical 3-space. We obtain the sharp lower estimate for the rotation of the one-dimensional direction of the partical in the physical space as a function of the velocity of the particle.
Received: 12.12.1997
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 4, Pages 1343–1347
DOI: https://doi.org/10.1023/A:1011342116841
Bibliographic databases:
UDC: 514.7, 271.21.21.17
Language: Russian
Citation: S. E. Kozlov, “Rotation of the one-dimensional direction in the physical space for a periodic particle”, Geometry and topology. Part 3, Zap. Nauchn. Sem. POMI, 252, POMI, St. Petersburg, 1998, 142–148; J. Math. Sci. (New York), 104:4 (2001), 1343–1347
Citation in format AMSBIB
\Bibitem{Koz98}
\by S.~E.~Kozlov
\paper Rotation of the one-dimensional direction in the physical space for a periodic particle
\inbook Geometry and topology. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 252
\pages 142--148
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl698}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756720}
\zmath{https://zbmath.org/?q=an:1031.53006}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 4
\pages 1343--1347
\crossref{https://doi.org/10.1023/A:1011342116841}
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