Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential

2010/10/12 by Altug Arda, Altuḡ Arda, Ramazan Sever
Mathematics · Physics and Astronomy · #Eigenfunction #Energy (signal processing) #Morse code #Morse potential #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Series (stratigraphy) #Series expansion #Spectral Theory in Mathematical Physics #Wave equation #quant-ph

paper · pdf · doi:10.1088/0031-8949/82/06/065007

published as Phys. Scr. 82, 065007(2010) · 14 pages

arxiv created 2010/10/12 · openalex publication_date 2010/11/10 · arxiv updated 2015/05/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The one-dimensional effective-mass Klein–Gordon equation for the real, and non-PT-symmetric/non-Hermitian generalized Morse potential is solved by taking a series expansion for the wave function. Energy eigenvalues and corresponding eigenfunctions are obtained. They are also calculated for the constant mass case.

Citations

• Explicit solutions for N-dimensional Schrödinger equations with position-dependent mass
• sl(2, ) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
• Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
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• SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
• EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS