Logarithmic perturbation theory for quasinormal modes
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Publication:4254258
DOI10.1088/0305-4470/31/14/013zbMath0927.35091arXivphysics/9712037OpenAlexW1968733975MaRDI QIDQ4254258
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Publication date: 29 June 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Abstract: Logarithmic perturbation theory (LPT) is developed and applied to quasinormal modes (QNMs) in open systems. QNMs often do not form a complete set, so LPT is especially convenient because summation over a complete set of unperturbed states is not required. Attention is paid to potentials with exponential tails, and the example of a Poschl-Teller potential is briefly discussed. A numerical method is developed that handles the exponentially large wavefunctions which appear in dealing with QNMs.
Full work available at URL: https://arxiv.org/abs/physics/9712037
PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Gravitational waves (83C35)
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