Generalized electromagnetic fields associated with the Coulomb-like atom problem
Complex Systems Group, Facultad de Ingenieria y Ciencias Aplicadas, Universidad de Los Andes, Santiago, Chile
2 Departamento de Fisica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Concepcion, Concepcíon, Chile
* e-mail: email@example.com
Accepted: 22 January 2020
Published online: 4 February 2020
It is well known that the principle of minimal coupling in quantum mechanics establishes a unique interaction form for a charged particle. By properly redefining the canonical commutation relations between (canonical) conjugate components of position and momentum of the particle, e.g., a meson, we restate the Klein–Gordon equation for the Coulomb-like problem incorporating a generalized minimal electromagnetic replacement. The corresponding interaction keeps the dependence in both the scalar potential and the vector potential . This equation can be exactly solved in closed form. Thus, we present a novel relativistic quantum-mechanical model which can be further explored.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020