Local Discontinuous Galerkin Methods for the 2D Simulation of Quantum Transport Phenomena on Quantum Directional Coupler  

作　　者：Li Guo Yan Xu 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei,Anhui 230026,P.R.China

出　　处：《Communications in Computational Physics》2014年第4期1012-1028,共17页计算物理通讯（英文）

基　　金：supported by NSFC grant No.11031007,FANEDD No.200916,NCET No.09-0922;Fok Ying Tung Education Foundation No.131003.

摘　　要：In this paper,we present local discontinuous Galerkin methods(LDG)to simulate an important application of the 2D stationary Schrödinger equation called quantum transport phenomena on a typical quantum directional coupler,which frequency change mainly reflects in y-direction.We present the minimal dissipation LDG(MD-LDG)method with polynomial basis functions for the 2D stationary Schrödinger equation which can describe quantum transport phenomena.We also give the MDLDG method with polynomial basis functions in x-direction and exponential basis functions in y-direction for the 2D stationary Schrödinger equation to reduce the computational cost.The numerical results are shown to demonstrate the accuracy and capability of these methods.

关 键 词：Local discontinuous Galerkin method 2D stationary Schrödinger equation quantum transport phenomena quantum directional coupler 

分 类 号：O17[理学—数学]