TY - JOUR
T1 - Hamiltonian density for a point charged particles system in special relativity
AU - De Parga, G. Ares
AU - Domínguez-Hernández, S.
AU - Salinas-Hernández, E.
N1 - Publisher Copyright:
© 2015 Physics Essays Publication.
PY - 2015/12
Y1 - 2015/12
N2 - A special relativity action for a system of point charged particles is proposed with the particularity of being complete, covariant, and nonstandard; that is, by considering that the action is stationary with respect to small variations of the trajectories of the charges zl i and the electromagnetic potential Aa ?xb ?, the equations of motions for each particle including the selfforces and the Maxwell equations are deduced. Without using any constraint, a Hamiltonian density is obtained whose corresponding Hamilton equations describe the equations of motion including the self-forces and the Maxwell equations too.
AB - A special relativity action for a system of point charged particles is proposed with the particularity of being complete, covariant, and nonstandard; that is, by considering that the action is stationary with respect to small variations of the trajectories of the charges zl i and the electromagnetic potential Aa ?xb ?, the equations of motions for each particle including the selfforces and the Maxwell equations are deduced. Without using any constraint, a Hamiltonian density is obtained whose corresponding Hamilton equations describe the equations of motion including the self-forces and the Maxwell equations too.
KW - Action
KW - Classical electrodynamics
KW - Hamiltonian density.
KW - Lagrangian
KW - Self-Force
UR - http://www.scopus.com/inward/record.url?scp=84975744772&partnerID=8YFLogxK
U2 - 10.4006/0836-1398-28.4.550
DO - 10.4006/0836-1398-28.4.550
M3 - Artículo
SN - 0836-1398
VL - 28
SP - 550
EP - 560
JO - Physics Essays
JF - Physics Essays
IS - 4
ER -