1997/05/21 by David Alba, Luca Lusanna · 3 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Geometry #Instant #Mathematical physics #Mathematics #Physics #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Relativity and Gravitational Theory #Rest (music) #Rest frame #Scalar (mathematics) #Scalar field #Scalar potential #Solar and Space Plasma Dynamics #hep-th
paper · pdf · doi:10.1142/s0217751x98001426
published as Int.J.Mod.Phys.A13:2791-2832,1998 · 49 pages, RevTeX
arxiv created 1997/05/21 · openalex publication_date 1998/06/30 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
After a summary of a recently proposed new type of instant form of dynamics (the Wigner-covariant rest-frame instant form), the reduced Hamilton equations in the covariant rest-frame Coulomb gauge for the isolated system of N scalar particles with pseudoclassical Grassmann-valued electric charges plus the electromagnetic field are studied. The Lienard–Wiechert potentials of the particles are evaluated and it is shown how the causality problems of the Abraham–Lorentz–Dirac equation are solved at the pseudoclassical level. Then, the covariant rest-frame description of scalar electrodynamics is given. Applying to it the Feshbach–Villars formalism, the connection with the particle plus electromagnetic field system is found.