论文标题
在关键时期对相对论问题的磁性校正
The Magnetic Scott Correction for Relativistic Matter at Criticality
论文作者
论文摘要
我们提供了第一次校正，以纠正主要的渐近分子，即在存在磁场的情况下，伪偏见的分子的最低能量，即所谓的“相对论的Scott校正”，当$ \ max {z_kα} \ leq 2/π$，$ k_k $ is $ k $ k $ k $ - $ k $ - $ k $ - $ k $ - $ k $ - $ k $ - $ k $ the nuce and $ k $ the nuct。我们的定理将ERDőS，Fournais和Solovej的先前结果扩展到相对论Hardy不平等的临界常数$ 2/π$ $ | P | - \ frac {2} {π| x |} \ geq 0 $。
We provide a proof of the first correction to the leading asymptotics of the minimal energy of pseudo-relativistic molecules in the presence of magnetic fields, the so-called "relativistic Scott correction", when $\max{Z_kα} \leq 2/π$, where $Z_k$ is the charge of the $k$-th nucleus and $α$ is the fine structure constant. Our theorem extends a previous result by Erdős, Fournais, and Solovej to the critical constant $2/π$ in the relativistic Hardy inequality $|p| - \frac{2}{π|x|} \geq 0$.
