Green Function and Perturbation Method for Dissipative Systems Based on Biorthogonal Basis |
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Authors: | ZHANG Li GAO Yi-Bo WANG Cheng |
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Affiliation: | 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 |
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Abstract: | 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 H8224;. The time-independent perturbation theory for the complex frequencies can be also developed. |
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Keywords: | biorthogonal basis open system quasinormal mode |
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