| JANYŠKA, Josef and Raffaele VITOLO. On the characterization of infinitesimal symmetries of the relativistic phase space. Journal of Physics A: Mathematical and Theoretical. Velká Británie: IOP Publishing, 2012, vol. 45, No 48, p. 1-28. ISSN 1751-8113. Available from: https://dx.doi.org/10.1088/1751-8113/45/48/485205. |
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@article{1074165,
author = {Janyška, Josef and Vitolo, Raffaele},
article_location = {Velká Británie},
article_number = {48},
doi = {http://dx.doi.org/10.1088/1751-8113/45/48/485205},
keywords = {Relativistic mechanics; jets of submanifolds; nonlinear connections; contact forms; cosymplectic forms; infinitesimal symmetries},
language = {eng},
issn = {1751-8113},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {On the characterization of infinitesimal symmetries of the relativistic phase space},
url = {http://iopscience.iop.org/1751-8121/45/48/485205},
volume = {45},
year = {2012}
}
TY - JOUR
ID - 1074165
AU - Janyška, Josef - Vitolo, Raffaele
PY - 2012
TI - On the characterization of infinitesimal symmetries of the relativistic phase space
JF - Journal of Physics A: Mathematical and Theoretical
VL - 45
IS - 48
SP - 1-28
EP - 1-28
PB - IOP Publishing
SN - 17518113
KW - Relativistic mechanics
KW - jets of submanifolds
KW - nonlinear connections
KW - contact forms
KW - cosymplectic forms
KW - infinitesimal symmetries
UR - http://iopscience.iop.org/1751-8121/45/48/485205
L2 - http://iopscience.iop.org/1751-8121/45/48/485205
N2 - The phase space of relativistic particle mechanics is defined as the first jet space of motions regarded as time-like one-dimensional submanifolds of spacetime. A Lorentzian metric and an electromagnetic 2-form define naturally a generalized contact structure on the odd-dimensional phase space. In the paper, infinitesimal symmetries of the phase structures are characterized. More precisely, it is proved that all phase infinitesimal symmetries are special Hamiltonian lifts of distinguished conserved quantities on the phase space. It is proved that generators of infinitesimal symmetries constitute a Lie algebra with respect to a special bracket. A momentum map for groups of symmetries of the geometric structures is provided.
ER -
JANYŠKA, Josef and Raffaele VITOLO. On the characterization of infinitesimal symmetries of the relativistic phase space. \textit{Journal of Physics A: Mathematical and Theoretical}. Velká Británie: IOP Publishing, 2012, vol.~45, No~48, p.~1-28. ISSN~1751-8113. Available from: https://dx.doi.org/10.1088/1751-8113/45/48/485205.
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