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Relativistic symmetries with the trigonometric Pschl-Teller potential plus Coulomb-like tensor interaction

Relativistic symmetries with the trigonometric Pschl-Teller potential plus Coulomb-like tensor interaction

作     者:Babatunde J.Falaye Sameer M.Ikhdair 

作者机构:Theoretical Physics SectionDepartment of PhysicsUniversity of IlorinP.M.B.1515IlorinNigeria Physics DepartmentNear East University922022 NicosiaNorthern CyprusTurkey Physics DepartmentFaculty of ScienceAn-Najah National UniversityNablusWest BankPalestine 

出 版 物:《Chinese Physics B》 (中国物理B(英文版))

年 卷 期:2013年第22卷第6期

页      面:181-192页

核心收录:

学科分类:07[理学] 0805[工学-材料科学与工程(可授工学、理学学位)] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

基  金:Scientific and Technological Research Council of Turkey 

主  题:Dirac equation trigonometric Poeschl-Teller potential tensor interaction approximation schemes,asymptotic iteration method 

摘      要:The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Poeschl-Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number κ using an approximation scheme to substitute the centrifugal terms κ(κ± i 1)r^-2. In view of spin and pseudo-spin (p-spin) symmetries, the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method (AIM). We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and κ. The non-relativistic limit is also obtained.

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