https://doi.org/10.1140/epjp/s13360-020-00244-8
Regular Article
Generalized electromagnetic fields associated with the Coulomb-like atom problem
1
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: jdiaz@udec.cl
Received:
10
July
2019
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
