Ground State H-Atom in Born-Infeld Theory

Abstract

Within the context of Born-Infeld (BI) nonlinear electrodynamics (NED) we revisit the non-relativistic, spinless H-atom. The pair potential computed from the Born-Infeld equations is approximated by the Morse type potential with remarkable fit over the critical region where the convergence of both the short and long distance expansions slows down dramatically. The Morse potential is employed to determine both the ground state energy of the electron and the BI parameter.

4 pages, 1 figure, final version to appear in Foundation of Physics

References in corpus (3)

• Nonperturbative calculation of Born-Infeld effects on the Schroedinger spectrum of the hydrogen atom
• Approximate Born-Infeld Effects on the Relativistic Hydrogen Spectrum
• Black holes and the classical model of a particle in Einstein non-linear electrodynamics theory

Cited by in corpus (3)

• Analytical Calculation of Stored Electrostatic Energy per Unit Length for an Infinite Charged Line and an Infinitely Long Cylinder in the Framework of Born-Infeld Electrostatics
• Long time behavior of nonlinear electromagnetic wave in vacuum beyond linear approximation
• Morse simulation of the Global Monopole equation in flat spacetime