Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-01-10
Annals Phys. 289 (2001) 87-177
Physics
High Energy Physics
High Energy Physics - Theory
119 pages, revtex file
Scientific paper
10.1006/aphy.2000.6129
In the semiclassical approximation in which the electric charges of scalar particles are described by Grassmann variables ($Q_i^2=0, Q_iQ_j\ne 0$), it is possible to re-express the Lienard-Wiechert potentials and electric fields in the radiation gauge as phase space functions, because the difference among retarded, advanced, and symmetric Green functions is of order Q_i^2. By working in the rest-frame instant form of dynamics, the elimination of the electromagnetic degrees of freedom by means of suitable second classs contraints leads to the identification of the Lienard-Wiechert reduced phase space containing only N charged particles with mutual action-at-a-distance vector and scalar potentials. A Darboux canonical basis of the reduced phase space is found. This allows one to re-express the potentials for arbitrary N as a unique effective scalar potential containing the Coulomb potential and the complete Darwin one, whose 1/c^2 component agrees for with the known expression. The effective potential gives the classical analogue of all static and non-static effects of the one-photon exchange Feynman diagram of scalar electrodynamics.
Crater Horace
Lusanna Luca
No associations
LandOfFree
The Rest-Frame Darwin Potential from the Lienard-Wiechert Solution in the Radiation Gauge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Rest-Frame Darwin Potential from the Lienard-Wiechert Solution in the Radiation Gauge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Rest-Frame Darwin Potential from the Lienard-Wiechert Solution in the Radiation Gauge will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-628732