Quasi-exactly solvable quasinormal modes

Details Quasi-exactly solvable quasinormal modes Quasi-exactly solvable quasinormal modes

2007-10-12

arxiv.org/abs/0710.2406v1

AIPConf.Proc.957:409-412,2007

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, no figures. To appear in the Proceedings of the 13th International Symposium on Particles, Strings and Cosmology (Jul

Scientific paper

10.1063/1.2823815

We consider quasinormal modes with complex energies from the point of view of the theory of quasi-exactly solvable (QES) models. We demonstrate that it is possible to find new potentials which admit exactly solvable or QES quasinormal modes by suitable complexification of parameters defining the QES potentials. Particularly, we obtain one QES and four exactly solvable potentials out of the five one-dimensional QES systems based on the $sl(2)$ algebra.

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