A New Treatment for Some Periodic SchrSdinger Operators I:The Eigenvalue  

作　　者：Wei He 贺伟(Instituto de Ffsica Teorica,Universidade Estadual Paulista,Barra Funda,01140-070,Sao Paulo,SP,Brazi)

机构地区：[1]Instituto de Ffsica Teorica,Universidade Estadual Paulista,Barra Funda,01140-070,Sao Paulo,SP,Brazi

出　　处：《Communications in Theoretical Physics》2018年第2期115-126,共12页理论物理通讯(英文版)

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

摘　　要：We study the problem of how the Floquet property manifests for periodic Schr6dinger operators,which axe known to have multiple of asymptotic spectral solutions.The main conclusions are made for elliptic potentials,we demonstrate that for each period of the elliptic function there is a relation about the Floquet exponent and the monodromy of wave function.Among them there are two relations not explained by the classical Floquet theory.These relations produce both old and new asymptotic solutions consistent with results already known.

关 键 词：spectral theory elliptic potentials Seiberg-Witten duality 

分 类 号：O314[理学—一般力学与力学基础] O151.21[理学—力学]