A New Treatment for Some Periodic Schr?dinger Operators Ⅱ: The Wave Function  

作　　者：Wei H 贺伟(School of Electronic Engineering,Chengdu Technological University,Chengdu 611730,China)

机构地区：School of Electronic Engineering,Chengdu Technological University,Chengdu 611730,China

出　　处：《Communications in Theoretical Physics》2018年第6期645-654,共10页理论物理通讯（英文版）

基　　金：supported by the FAPESP No.2011/21812-8,through IFT-UNESP

摘　　要：Following the approach of our previous paper we continue to study the asymptotic solution of periodic Schrodinger operators. Using the eigenvalues obtained earlier the corresponding asymptotic wave functions are derived. This gives further evidence in favor of the monodromy relations for the Floquet exponent proposed in the previous paper. In particular, the large energy asymptotic wave functions are related to the instanton partition function of N = 2 supersymmetric gauge theory with surface operator. A relevant number theoretic dessert is appended.

关 键 词：spectral theory periodic differential operators Seiberg-Witten duality instanton partition function 

分 类 号：O175[理学—数学]