论文标题
对于没有绑定的状态，无质量的无褐色 - 雷文霍尔型操作员
On the absence of bound states for a planar massless Brown-Ravenhall-type operator
论文作者
论文摘要
我们解决了在贝塞尔·麦克唐纳（Bessel-Macdonald）潜力（也称为$ k_0 $势力的潜力）的情况下，适当预测的二维无量零零零件运营商的界限存在问题，该问题由de Lima，del Lima，del Cima和Miranda提出，在EUR.PHYS.J。 b（2020）93，187。基于相对论强的不平等，我们证明该操作员没有绑定状态，如果$γ\leqslantγ_{\ rm crit} $（亚临界区域），其中$γ$是$γ$是一个耦合常数。
We address the question of the existence of bound states for a suitably projected two-dimensional massless Dirac operator in the presence of a Bessel-Macdonald potential (also known as $K_0$-potential potential), raised by De Lima, Del Cima and Miranda, in Eur.Phys.J. B (2020) 93, 187. Based on Relativistic Hardy Inequality, we prove that this operator has no bound states if $γ\leqslant γ_{\rm crit}$ (subcritical region), where $γ$ is a coupling constant.
