Approximate Born–Infeld effects on the relativistic hydrogen spectrum

Abstract

The Born-Infeld form of the hydrogen atom has a spectrum that can be used to determine the physical viability of the theory, and place an experimentally relevant bound on the single parameter found in it. We compute this spectrum using the relativistic Dirac equation, and a form of the Born-Infeld potential that approximates the self-field corrections of the electron. Using these together, we can establish that if the Born-Infeld nonlinear electrodynamics is to be physically relevant, it must contain a fundamental constant that is well-below the original value proposed by Born. This work extends the original Schrödinger spectrum from [1] for the self-field correction, and shows that using the Dirac equation introduces minor corrections -but also gives access to a range for the fundamental constant that is below that attainable from non-relativistic considerations.

Thermodynamic analysis of topological black holes in Gauss–Bonnet gravity with nonlinear source

“…(28) and (29) are equal to Eqs. (22) (with k = 1 and = 0) and (25), respectively, and hence we conclude that these quantities satisfy the first law of thermodynamics…”

“…The Born-Infeld (BI) nonlinear electrodynamics (NLED) is the first nonlinear higher derivative generalization of the Maxwell theory [19,20] and its nonlinearity power is characterized by an arbitrary real positive parameter β. Replacing the BI NLED with linear Maxwell theory in related topics, one can investigate the effects of nonlinearity on the physical consequences in electrodynamics [21][22][23][24][25][26][27][28][29][30][31].…”

Photonic processes in Born–Infeld theory

“…5, where the quartic vertex now appears with two photon and two magnetic field legs. It is easily calculated that this diagram alone would yield a refraction index 12) confirming the independence of polarization. However, if as usual we assume also the presence of the QED diagrams, we will get a total refraction index from the sum of both diagrams of Fig.…”

Wiggly cosmic string as a waveguide for massless and massive fields

“…In order to solve equation (7), we used a finite difference method [27][28][29] and computed numerically the radial part of the waves traveling along the wiggly string with their corresponding eigenvalues. The different states are labeled by quantum numbers n (radial quantum number) and l. In Fig.…”