Exact solution of the Klein-Gordon equation for the PT-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method

2006/10/21 by Sameer M. Ikhdair, R. Sever, Ramazan Sever · 4 citations
Physics and Astronomy · #Bound state #Eigenvalues and eigenvectors #Exact solutions in general relativity #Klein–Gordon equation #Mathematical physics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Scattering #Wave function #Woods–Saxon potential #quant-ph

paper · pdf · doi:10.1002/andp.200610232

29 pages, 8 figures

arxiv created 2006/10/21 · openalex publication_date 2006/12/21 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

The exact solution of the one-dimensional Klein-Gordon equation of the 𝒫𝒯-symmetric generalized Woods-Saxon potential is obtained. The exact energy eigenvalues and wavefunctions are derived analytically by using the Nikiforov and Uvarov method. In addition, the positive and negative exact bound states of the s-states are also investigated for different types of complex generalized Woods-Saxon potentials.

Citations

• Theoretical Status of the B_c Meson in the Shifted l-Expansion Technique
• On the B_c leptonic decay constant
• A perturbative treatment for the energy levels of neutral atoms
• Bc AND HEAVY MESON SPECTROSCOPY IN THE LOCAL APPROXIMATION OF THE SCHRÖDINGER EQUATION WITH RELATIVISTIC KINEMATICS
• Vortex pinning and non-Hermitian quantum mechanics
• Complex periodic potentials with real band spectra
• Complex Extension of Quantum Mechanics
• Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials

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• BOUND STATES OF THE KLEIN–GORDON EQUATION FOR VECTOR AND SCALAR GENERAL HULTHÉN-TYPE POTENTIALS IN D-DIMENSION
• Exact solutions of the radial Schrödinger equation for some physical potentials
• Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential