相对论氢光谱的近似Born-Infeld效应
Approximate Born-Infeld Effects on the Relativistic Hydrogen Spectrum
摘要：
氢原子的Born-Infeld形式有一个光谱，可以用来确定理论的物理可行性，并在其中发现的单个参数上设置一个实验相关的界限。我们使用相对论狄拉克方程和一种近似电子自场修正的Born-Infeld势来计算这个光谱。一起使用这些，我们可以确定，如果玻恩-因菲尔德非线性电动力学是物理相关的，它必须包含一个基本常数，该常数远低于玻恩提出的原始值。这项工作扩展了Carley和Kiessling（2006）[1]的原始薛定谔光谱，用于自场校正，并表明使用狄拉克方程引入了微小的校正-但也提供了一个基本常数的范围，该范围低于非相对论考虑的范围。
英文摘要：
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 Schrodinger spectrum from Carley and Kiessling (2006) [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.
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