PT/non-PT symmetric and non-Hermitian Pöschl-Teller-like solvable potentials via Nikiforov-Uvarov method. (English) Zbl 1118.81501
Summary: The solutions of trigonometric Scarf potential, PT/non-PT symmetric and non-Hermitian \(q\)-deformed hyperbolic Scarf and Manning–Rosen potentials are obtained by solving the Schrödinger equation. The Nikiforov–Uvarov method is used to obtain the real energy spectra and corresponding eigenfunctions.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81U15 | Exactly and quasi-solvable systems arising in quantum theory |
| 81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
