二维Brown-Ravenhall算子的正性
Positivity of the two-dimensional Brown-Ravenhall operator
摘要：
我们确定了二维Brown-Ravenhall算子与库仑势的临界耦合。从下面的有界性基本上已经证明了Bouzouina，其工作，但包含一个微不足道的错误，导致错误的常数正是一半的实际临界常数。此外，我们证明了该算子实际上是正的。我们的证明在很大程度上类似于Tix对三维算子的相应结果的证明。
英文摘要：
We determine the critical coupling of the two-dimensional Brown-Ravenhall operator with Coulomb potential. Boundedness from below has essentially been proven by Bouzouina, whose work however contains a trivial error leading to a wrong constant exactly one half of the actual critical constant. Furthermore we show that the operator is in fact positive. Our proof of that is for the most part analogous to Tix's proof of the corresponding result for the three-dimensional operator.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
