Approximate Solutions to the Dirac Equation with Effective Mass for the Manning-Rosen Potential in N Dimensions

被引:8
作者
Bahar, M. K. [1 ,2 ]
Yasuk, F. [1 ]
机构
[1] Erciyes Univ, Dept Phys, TR-38039 Kayseri, Turkey
[2] Karamanoglu Mehmetbey Univ, Dept Phys, TR-70100 Karaman, Turkey
关键词
POSITION-DEPENDENT MASS; KLEIN-GORDON EQUATION; SCHRODINGER-EQUATION; SUPERSYMMETRIC APPROACH; SYSTEMS; ATOM;
D O I
10.1007/s00601-012-0461-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The solutions of the effective mass Dirac equation for the Manning-Rosen potential with the centrifugal term are studied approximately in N dimension. The relativistic energy spectrum and two-component spinor eigenfunctions are obtained by the asymptotic iteration method. We have also investigated eigenvalues of the effective mass Dirac-Manning-Rosen problem for alpha = 0 or alpha = 1. In this case, the Manning-Rosen potential reduces to the Hulthen potential.
引用
收藏
页码:515 / 524
页数:10
相关论文
共 52 条
[1]   Comment on 'The Klein-Gordon equation with a generalized Hulthen potential in D dimensions' [J].
Agboola, D. .
PHYSICA SCRIPTA, 2010, 81 (06)
[2]   Solutions to the Modified Poschl-Teller Potential in D-Dimensions [J].
Agboola, D. .
CHINESE PHYSICS LETTERS, 2010, 27 (04)
[3]   The Hulthen potential in D-dimensions [J].
Agboola, D. .
PHYSICA SCRIPTA, 2009, 80 (06)
[4]  
Agboola D., MATHPHARXIV10112368V
[5]   Hydrogen atom in N dimensions [J].
Al-Jaber, SM .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (04) :1289-1298
[6]   Relativistic extension of the complex scaling method [J].
Alhaidari, A. D. .
PHYSICAL REVIEW A, 2007, 75 (04)
[7]   Relativistic scattering with a spatially dependent effective mass in the Dirac equation [J].
Alhaidari, A. D. ;
Bahlouli, H. ;
Al-Hasan, A. ;
Abdelmonem, M. S. .
PHYSICAL REVIEW A, 2007, 75 (06)
[8]   Solution of the Dirac equation with position-dependent mass in the Coulomb field [J].
Alhaidari, AD .
PHYSICS LETTERS A, 2004, 322 (1-2) :72-77
[9]  
Alhaidari AD, 2002, PHYS REV A, V66, DOI 10.1103/PhysRevA.66.042116
[10]   Nonrelativistic Green's function for systems with position-dependent mass [J].
Alhaidari, AD .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (12) :2999-3009