The Hamiltonian formulation of the Wheeler-Feynman theory of action at a distance in classical electrodynamics as carried out by Kerner, who has derived the nonrelativistic classical Hamiltonian for the interaction of two spinless charged particles interacting by means of half-retarded plus half-advanced potentials, has been generalized to obtain the corresponding relativistic classical Hamiltonian to order ${e}^{4}$ and ${c}^{\ensuremath{-}4}$. Using the procedure of Daughaday and Nigam, the classical Hamiltonian is transformed into the quantum-mechanical Hamiltonian operator.The Hamiltonian formulation of the Wheeler-Feynman theory of action at a distance in classical electrodynamics as carried out by Kerner, who has derived the nonrelativistic classical Hamiltonian for the interaction of two spinless charged particles interacting by means of half-retarded plus half-advanced potentials, has been generalized to obtain the corresponding relativistic classical Hamiltonian to order ${e}^{4}$ and ${c}^{\ensuremath{-}4}$. Using the procedure of Daughaday and Nigam, the classical Hamiltonian is transformed into the quantum-mechanical Hamiltonian operator.

Physical ReviewMay 27, 19661 citation

{e}^{4}

and ${c}^{\ensuremath{-}4}$. Using the procedure of Daughaday and Nigam, the classical Hamiltonian is transformed into the quantum-mechanical Hamiltonian operator.