PT/non-PT symmetric and non-Hermitian Pöschl–Teller-like solvable potentials via Nikiforov–Uvarov method

2006/10/31 by Özlem Yeşiltaş, Ozlem Yesiltas
Mathematics · Physics and Astronomy · #Energy (signal processing) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Schrödinger equation #Schrödinger's cat #Spectral Theory in Mathematical Physics #Spectral line #Trigonometric functions #Trigonometry #quant-ph

paper · pdf · doi:10.1088/0031-8949/75/1/006

published as Phys. Scr. 75 (2007) 41--46 · 18 pages 8 figures

arxiv created 2006/10/31 · openalex publication_date 2006/11/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• All Hermitian Hamiltonians have parity
• Complex periodic potentials with real band spectra
• MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
• ExactPT-symmetry is equivalent to Hermiticity
• SUPERSYMMETRIC SOLUTION OF PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN MORSE POTENTIAL VIA HAMILTONIAN HIERARCHY METHOD
• Solution of Schwinger-Dyson Equations for \cal PT-Symmetric Quantum Field Theory
• Complex Extension of Quantum Mechanics
• Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials