Logarithmic perturbation theory for quasinormal modes

Details Logarithmic perturbation theory for quasinormal modes Logarithmic perturbation theory for quasinormal modes

1997-12-18

arxiv.org/abs/physics/9712037v1

Physics

Mathematical Physics

24 pages, 4 Postscript figures, uses ioplppt.sty and epsfig.sty

Scientific paper

10.1088/0305-4470/31/14/013

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.

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