Generalised tanh-shaped hyperbolic potential: Klein–Gordon equation's bound state solution

作     者：V H Badalov S V Badalov V H Badalov;S V Badalov

作者机构：Institute for Physical ProblemsBaku State University1148 BakuAzerbaijan Theoretical Materials PhysicsPaderborn UniversityD-33098 PaderbornGermany Theoretical PhysicsⅦUniversity of BayreuthD-95440 BayreuthGermany 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2023年第75卷第7期

页      面：22-32页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 070104[理学-应用数学] 0701[理学-数学] 0702[理学-物理学] 

主　　题：Klein-Gordon equation hyperbolic potential Nikiforov-Uvarov method diatomic molecules 

摘      要：The development of potential theory heightens the understanding of fundamental interactions in quantum systems.In this paper,the bound state solution of the modified radial Klein–Gordon equation is presented for generalised tanh-shaped hyperbolic potential from the Nikiforov–Uvarov method.The resulting energy eigenvalues and corresponding radial wave functions are expressed in terms of the Jacobi polynomials for arbitrary l states.It is also demonstrated that energy eigenvalues strongly correlate with potential parameters for quantum states.Considering particular cases,the generalised tanh-shaped hyperbolic potential and its derived energy eigenvalues exhibit good agreement with the reported findings.Furthermore,the rovibrational energies are calculated for three representative diatomic molecules,namely H2,HCl and O2.The lowest excitation energies are in perfect agreement with experimental results.Overall,the potential model is displayed to be a viable candidate for concurrently prescribing numerous quantum systems.