Analytical Solutions to the Klein–Gordon Equation with Position-Dependent Mass for q -Parameter Pöschl–Teller Potential

2009/11/24 by Altug Arda, Altuğ Arda, R. Sever +3
Mathematics · Physics and Astronomy · #Eigenfunction #Eigenvalues and eigenvectors #Formalism (music) #Generalization #Klein–Gordon equation #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Parametric statistics #Physics #Position (finance) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Statistics #quant-ph

paper · pdf · doi:10.1088/0256-307x/27/1/010306

published as Chines Phys. Lett. 27, 010306(2010) · 10 pages

arxiv created 2009/11/24 · openalex publication_date 2010/01/01 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The energy eigenvalues and the corresponding eigenfunctions of the one-dimensional Klein–Gordon equation with q -parameter Pöschl–Teller potential are analytically obtained within the position-dependent mass formalism. The parametric generalization of the Nikiforov–Uvarov method is used in the calculations by choosing a mass distribution.

Citations

• (1+1)-Dirac Particle with Position-Dependent Mass in Complexified Lorentz Scalar Interactions: Effectively PT -Symmetric
• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• A generalized non-Hermitian oscillator Hamiltonian, -fold supersymmetry and position-dependent mass models
• First-Order Intertwining Operators with Position Dependent Mass and η-Weak-Pseudo-Hermiticity Generators
• SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
• EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS