Prepotential approach to quasinormal modes

Details Prepotential approach to quasinormal modes Prepotential approach to quasinormal modes

2010-10-18

arxiv.org/abs/1010.3576v2

Ann. Phys. 326 (2011) 1394

Physics

Mathematical Physics

12 pages, no figure. Typos corrected

Scientific paper

In this paper we demonstrate how the recently reported exactly and quasi-exactly solvable models admitting quasinormal modes can be constructed and classified very simply and directly by the newly proposed prepotential approach. These new models were previously obtained within the Lie-algebraic approach. Unlike the Lie-algebraic approach, the prepotential approach does not require any knowledge of the underlying symmetry of the system. It treats both quasi-exact and exact solvabilities on the same footing, and gives the potential as well as the eigenfunctions and eigenvalues simultaneously. We also present three new models with quasinormal modes: a new exactly solvable Morse-like model, and two new quasi-exactly solvable models of the Scarf II and generalized P\"oschl-Teller types.

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