Methods In The Theory Of Anderson Localization

This paper mainly deals with Anderson localization which attracted most scien-tists’attention since the American physicist P.W.Anderson published his famous pa-per 《Absence of diffusion in certain random lattices》.We introduce some mathemati-cal methods, including Lyapounov exponent,multi-scale analysis and perturbation the-ory, which can explain this phenomenon. At the end of this paper, a piece of discussing about the methods we used is added.Localization,as a result of many mathematical-physicists’hard work, has becom-ing a theoretical system in the past50years. We believe that there are still many problems and open questions to solve and explore as the research carried out.