Dirac equation with spin symmetry for the modified Poschl-Teller potential in D dimensions

被引:25
|
作者
Agboola, D. [1 ]
机构
[1] Covenant Univ, Dept Math, Theoret Phys Grp, Ota, Ogun State, Nigeria
来源
PRAMANA-JOURNAL OF PHYSICS | 2011年 / 76卷 / 06期
关键词
Dirac equation; modified Poschl-Teller potential; spin symmetry; Nikiforov-Uvarov method; KLEIN-GORDON EQUATIONS; PSEUDOSPIN SYMMETRY; RELATIVISTIC SYMMETRY; N-DIMENSIONS; SCALAR;
D O I
10.1007/s12043-011-0104-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present solutions of the Dirac equation with spin symmetry for vector and scalar modified Poschl-Teller potentials within the framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the Nikiforov-Uvarov method and the two-component spinor wave functions obtained are in terms of the Jacobi polynomials. It is found that there exist only positive energy states for bound states under spin symmetry, and the energy of a level with fixed value of n, increases with increase in dimension of space time and the potential range parameter alpha.
引用
收藏
页码:875 / 885
页数:11
相关论文
共 50 条
  • [41] On the completeness of the quasinormal modes of the Poschl-Teller potential
    Beyer, HR
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 204 (02) : 397 - 423
  • [42] Two-dimensional Dirac particles in a Poschl-Teller waveguide
    Hartmann, R. R.
    Portnoi, M. E.
    SCIENTIFIC REPORTS, 2017, 7
  • [43] Solutions of the D-Dimensional Schrodinger Equation with the Hyperbolic Poschl-Teller Potential plus Modified Ring-Shaped Term
    Assi, Ibsal A.
    Ikot, Akpan N.
    Chukwuocha, E. O.
    ADVANCES IN HIGH ENERGY PHYSICS, 2018, 2018
  • [44] The supersymmetric modified Poschl-Teller and delta well potentials
    Díaz, JI
    Negro, J
    Nieto, LM
    Rosas-Ortiz, O
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (48): : 8447 - 8460
  • [45] SPIN AND PSEUDOSPIN SYMMETRIES IN RELATIVISTIC TRIGONOMETRIC POSCHL-TELLER POTENTIAL WITH CENTRIFUGAL BARRIER
    Hamzavi, M.
    Ikhdair, S. M.
    Thylwe, K. -E.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS E, 2012, 21 (12):
  • [46] A neural network approach for solution of the Schrodinger equation for a particle in the Poschl-Teller potential
    Arora, Garvit
    Singh, Apoorva
    Bandhu, Ashutosh Vishwa
    CANADIAN JOURNAL OF PHYSICS, 2021, 99 (08) : 728 - 734
  • [47] Spin and Pseudospin Symmetries with Trigonometric Poschl-Teller Potential including Tensor Coupling
    Hamzavi, M.
    Rajabi, A. A.
    ADVANCES IN HIGH ENERGY PHYSICS, 2013, 2013
  • [48] Scattering by a reflectionless modified Poschl-Teller potential: Bohmian trajectories and arrival times
    Mousavi, S. V.
    PHYSICA SCRIPTA, 2015, 90 (09)
  • [49] Scattering and Bound States of the Dirac Particle for q-Parameter Hyperbolic Poschl-Teller Potential
    Onyeaju, M. C.
    Ikot, A. N.
    Onate, C. A.
    Obong, H. P.
    Ebomwonyi, O.
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2018, 70 (05) : 541 - 551
  • [50] Linear algebraic construction for first Poschl-Teller potential
    Ni, Z.X.
    Wuli Xuebao/Acta Physica Sinica, 2001, 50 (03):