The theory of potential momentum is only one of three ways in which the idea of potential energy can be extended to the relativistic case. View of the remote exchange of four-momentum from the point o...The theory of potential momentum is only one of three ways in which the idea of potential energy can be extended to the relativistic case. View of the remote exchange of four-momentum from the point of view of two different coordinate systems. The fat line in both pictures is the line of simultaneity in the unprimed frame which is coincident with the exchange of four-momentum between the two particles.
For sake of definiteness, let us view the emission of particle C by particle A in a reference frame in which the velocity of particle A is just reversed in the emission process. If the intermediary pa...For sake of definiteness, let us view the emission of particle C by particle A in a reference frame in which the velocity of particle A is just reversed in the emission process. If the intermediary particle is massless (a photon, for instance), then the range of the interaction is inversely related to the momentum transfer: ΔI≈ℏ/q..
