柱δ-势与Dirac方程
The cylindrical δ-potential and the Dirac equation
摘要：
本文讨论了具有吸引柱δ壳势V（ρ）=-aδ（ρ-ρ_0）的狄拉克方程，其中ρ是径向坐标，a>0。详细讨论了波函数穿过势支时所需满足的边界条件，进而探讨了基态对参数a的依赖关系，分析了超临界效应的发生。我们还应用了Foldy-Wouthuysen变换，讨论了这个问题的非相对论极限。
英文摘要：
In this article we discuss the Dirac equation in the presence of an attractive cylindrical δ-shell potential V(ρ)=-aδ(ρ-ρ_0), where ρis the radial coordinate and a>0. We present a detailed discussion on the boundary conditions the wave function has to satisfy when crossing the support of the potential, proceeding then to explore the dependence of the ground state on the parameter a, analyzing the occurrence of supercritical effects. We also apply the Foldy-Wouthuysen transformation, discussing the non-relativistic limit of this problem.
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。
