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Shape invariance approach to exact solutions of the Klein–Gordon equation

2006/09/15 by Tapan Jana, T. Jana, P. Roy +1
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1016/j.physleta.2006.09.032

arxiv created 2006/09/15 · openalex publication_date 2006/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the shape invariance property we obtain exact solutions of the (1+1)dimensional Klein-Gordon equation for certain types of scalar and vector potentials. We also discuss the possibility of obtaining real energy spectrum with non-Hermitian interaction within this framework.

Citations