English

Logarithmic perturbation theory for quasinormal modes

Mathematical Physics 2009-10-30 v1 math.MP

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.

Keywords

Cite

@article{arxiv.physics/9712037,
  title  = {Logarithmic perturbation theory for quasinormal modes},
  author = {P. T. Leung and Y. T. Liu and W. M. Suen and C. Y. Tam and K. Young},
  journal= {arXiv preprint arXiv:physics/9712037},
  year   = {2009}
}

Comments

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