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

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2009,（6）
• 页码范围: 1017-1022
• 页数: 6页
• 语种: 英文

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 closed 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.