最小长度情形下氢原子的相对论研究
Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario
摘要:
在这项工作中,我们表明,相对论贡献的氢原子的基态能量所产生的洛伦兹协变代数引入的最小长度的存在下比非相对论的更相关的,因为这个非相对论的方法是不合适的。此外,通过与实验数据的比较,我们可以粗略地估计出$10^{-20}m$阶的最小长度值的上界。
英文摘要:
In this work we show that relativistic contributions to the ground state energy of the hydrogen atom arising from the presence of a minimal length introduced by a Lorentz-covariant algebra are more relevant than non-relativistic ones, and because of this the non-relativistic approach is not suitable. In addition, comparing our result with experimental data we can roughly estimate the upper bound for the minimal length value of the order $10^{-20}m$.
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