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Variational principle for the Wheeler–Feynman electrodynamics
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10.1063/1.3154509
/content/aip/journal/jmp/50/6/10.1063/1.3154509
http://aip.metastore.ingenta.com/content/aip/journal/jmp/50/6/10.1063/1.3154509
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The EHBCs are a point and a segment along each trajectory (red). Trajectory 1 starts from point at , while trajectory 2 ends at point at . The trajectory of particle 1 to be varied (green) extends from to point at where trajectory 1 intersects the past light cone of . The future history of particle 1 (red) goes from to point at where trajectory 1 intersects the advanced light cone of . The past history of particle 2 (red) goes from point at where trajectory 2 intersects the past light cone of up to point at where trajectory 2 intersects the future light cone of . The trajectory of particle 2 to be varied goes from to (blue).

Image of FIG. 2.
FIG. 2.

Illustrated are the times in light cone for a sewing chain made of (i) the forward sewing from two arbitrary points along plus the forward chain starting from point (solid blue line) and (ii) the backward sewing starting from two points along (dashed black line) plus the backward chain starting from point (solid green line). Along the chains starting from and (solid blue and solid green lines), the acceleration can be discontinuous for generic EHBCs data, representing the breaking points of the orbit.

Image of FIG. 3.
FIG. 3.

Solenoidal trajectory of the proton (solid red) and solenoidal trajectory of the electron (solid green line). Indicated are the future and past light cones from a position along the protonic trajectory (dashed blue) and the future and the past light cones from a position along the electronic trajectory (solid blue line).

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/content/aip/journal/jmp/50/6/10.1063/1.3154509
2009-06-25
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Variational principle for the Wheeler–Feynman electrodynamics
http://aip.metastore.ingenta.com/content/aip/journal/jmp/50/6/10.1063/1.3154509
10.1063/1.3154509
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