带傅立叶乘子高维薛定谔扰动方程的拟周期解  

Quasi-periodic solutions of perturbations of high-dimensional Schrodinger equations with Fourier multiplier

作　　者：李政林[1] 李大林[2] 

机构地区：[1]广西工学院信息与计算科学系,广西柳州545006 [2]柳州职业技术学院基础部,广西柳州545006

出　　处：《广西工学院学报》2008年第4期54-57,共4页Journal of Guangxi University of Technology

基　　金：广西教育厅科研项目(200707LZ259)资助

摘　　要：给出了一组复指数完备正交基的排序方式,具有傅立叶乘子的高维薛定谔方程相应的算子在该组基下的矩阵是无限阶对角阵,用该矩阵的逆可以不受维数限制而求得薛定谔扰动方程的拟周期解。An ordering method for a set of complete orthogonal basis of complex exponential functions was given. It is an infinite order diagonal matrix for an operator of high-dimensional Schrodinger equations with Fourier multiplier on such a basis. The quasi-periodic solutions of perturbations of Schrodinger equations were obtained by the inverse of the matrix without the limits of dimension.

关 键 词：薛定谔方程 傅立叶乘子 扰动方程 拟周期解 

分 类 号：O431.2[机械工程—光学工程]