Green Function and Perturbation Method for Dissipative Systems Based on Biorthogonal Basis  

作　　者：ZHANG Li GAO Yi-Bo WANG Cheng 

机构地区：[1]School of Physics, Northeast Normal University, Changchun 130024, China [2]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China [3]Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130024, China

出　　处：《Communications in Theoretical Physics》2009年第6期1017-1022,共6页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant Nos. 10647108, 10547101, and 10604002;the National Fundamental Research Program of China under Grant No. 2006CB921200

摘　　要：Based on the approach of biorthogonal basis, we carry out the quasinormal modes （QNMs） expansions for a class of open systems described by the wave equation with outgoing wave boundary conditions. For such a non-Hermitian system, the eigenfunction perturbation expansions and Green function method, which are based on the orthogonal eigenvectors of the Hermitian Hamiltonian for the dosed quantum system, can be generalized in terms of the biorthogonal basis, the two sets of eigenfunctions of H and its adjointness H . The time-independent perturbation theory for the complex frequencies can be also developed.

关 键 词：biorthogonal basis open system quasinormal mode 

分 类 号：O441.4[理学—电磁学] V475.1[理学—物理]