In Einstein-Euler-Heisenberg theory, purely magnetic and mixed electric-magnetic black holes can have three horizons, one outer and two inner, for weak QED coupling.
Nonperturbative calculation of Born-Infeld effects on the Schroedinger spectrum of the hydrogen atom
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We present the first nonperturbative numerical calculations of the nonrelativistic hydrogen spectrum as predicted by first-quantized electrodynamics with nonlinear Maxwell-Born-Infeld field equations. We also show rigorous upper and lower bounds on the ground state. When judged against empirical data our results significantly restrict the range of viable values of the new electromagnetic constant which is introduced by the Born-Infeld theory. We assess Born's own proposal for the value of his constant.
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Purely Electric, Magnetic, and Dyonic Black Holes in Einstein-Euler-Heisenberg Theory
In Einstein-Euler-Heisenberg theory, purely magnetic and mixed electric-magnetic black holes can have three horizons, one outer and two inner, for weak QED coupling.