(Quasi)-exactly solvable quasinormal modes

Details (Quasi)-exactly solvable quasinormal modes (Quasi)-exactly solvable quasinormal modes

2006-06-17

arxiv.org/abs/hep-th/0606162v3

J.Phys. A40 (2007) 1325-1332

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure. Replaced with version to appear in J. Phys. A

Scientific paper

10.1088/1751-8113/40/6/009

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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