2 papers
math-ph2023
On the relativistic quantum mechanics of a photon between two electrons in 1+1 dimensions
Lawrence Frolov, Samuel E. Leigh, A. Shadi Tahvildar-Zadeh
A Lorentz-covariant system of wave equations is formulated for a quantum-mechanical three-body system in one space dimension, comprised of one photon and two identical massive spin…
math.AP2023
Joint evolution of a Lorentz-covariant massless scalar field and its point-charge source in one space dimension
Lawrence Frolov, Samuel Leigh, A. Shadi Tahvildar-Zadeh
In this paper we prove that the static solution of the Cauchy problem for a massless real scalar field that is sourced by a point charge in dimensions is asymptotically stabl…