Prepotential approach to quasinormal modes
- Department of Physics, Tamkang University, Tamsui 251, Taiwan (China)
Research Highlights: > A unified approach to both exactly and quasi-exactly solvable quasinormal modes. > A simple constructive approach without knowledge of underlying symmetry of the system. > Three new models admitting quasinormal modes. - Abstract: 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 Poeschl-Teller types.
- OSTI ID:
- 21579906
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 6 Vol. 326; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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