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

作     者：Wei H 贺伟

作者机构：School of Electronic EngineeringChengdu Technological UniversityChengdu 611730China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2018年第69卷第6期

页      面：645-654页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：spectral theory periodic differential operators Seiberg-Witten duality instanton partition function 

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.