1阶WKB方法在黑洞准正则模式应用研究中的一点说明

计算黑洞准正则模式的一个重要方法是WKB方法,该方法的主要原理是将满足边界条件的两个渐近解跨过两个转折点与有效势顶点处的近似解进行匹配,从而确定准正则模式.然而许多文献没有说明渐近解是如何匹配的,本文将对此问题给出一个较为合理的解释.     

Holographic Insulator/Superconductor Phase Transition in Born–Infeld Electrodynamics

We study holographic insulator/superconductor phase transition in the framework of Born–Infeld electrodynamics both numerically and analytically. First we numerically study the efects of the Born–Infeld electrodynamics on the phase transition, find that when the Born–Infeld parameter increases, the critical chemical potential keeps invariant but the gap frequency becomes larger. Then we employ the variational method for the Sturm–Liouville eigenvalue problem to study the phase transition analytically. The analytical results obtained are found to be consistent with the numerical results.