| ROSSI, Olga a Jana MUSILOVÁ. The relativistic mechanics in a nonholonomic setting : a unified approach to particles with non-zero mass and massless particles. Journal of Physics A: Mathematical and Theoretical. Velká Británie: IOP Publishing, 2012, roč. 45, č. 25, s. 1-27. ISSN 1751-8113. Dostupné z: https://dx.doi.org/10.1088/1751-8113/45/25/255202. |
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@article{981999,
author = {Rossi, Olga and Musilová, Jana},
article_location = {Velká Británie},
article_number = {25},
doi = {http://dx.doi.org/10.1088/1751-8113/45/25/255202},
keywords = {Lagrangian; nonholonomic constraint; reduced Chetaev equations; constraint force;Lorentz force; Dicke force; tachyons; particles with zero mass},
language = {eng},
issn = {1751-8113},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {The relativistic mechanics in a nonholonomic setting : a unified approach to particles with non-zero mass and massless particles},
volume = {45},
year = {2012}
}
TY - JOUR
ID - 981999
AU - Rossi, Olga - Musilová, Jana
PY - 2012
TI - The relativistic mechanics in a nonholonomic setting : a unified approach to particles with non-zero mass and massless particles
JF - Journal of Physics A: Mathematical and Theoretical
VL - 45
IS - 25
SP - 1-27
EP - 1-27
PB - IOP Publishing
SN - 17518113
KW - Lagrangian
KW - nonholonomic constraint
KW - reduced Chetaev equations
KW - constraint force;Lorentz force
KW - Dicke force
KW - tachyons
KW - particles with zero mass
N2 - A new approach to relativistic mechanics is proposed, suitable to describe in a unified way dynamics of different kinds of relativistic particles. Mathematically it is an application of a geometric theory of nonholonomic systems on fibred manifolds. We propose a setting based on a naturally constructed Lagrangian and a constraint on the four-velocity of a particle that allows a unified approach to particles with any (positive/negative/zero) square of mass. The corresponding equations of motion are obtained and discussed. In particular, new forces are found (different from the usual Lorentz force type term), arising due to the nonholonomic constraint. A possible meaning and relation with forces previously proposed by Dicke is discussed. In particular, equations of motion of massless particles and of tachyons are studied and the corresponding dynamics are investigated.
ER -
ROSSI, Olga a Jana MUSILOVÁ. The relativistic mechanics in a nonholonomic setting : a unified approach to particles with non-zero mass and massless particles. \textit{Journal of Physics A: Mathematical and Theoretical}. Velká Británie: IOP Publishing, 2012, roč.~45, č.~25, s.~1-27. ISSN~1751-8113. Dostupné z: https://dx.doi.org/10.1088/1751-8113/45/25/255202.
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