中国物理B ›› 2013, Vol. 22 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/22/4/040301

• GENERAL • 上一篇    下一篇

Spinless particles in the field of unequal scalar–vector Yukawa potentials

M. Hamzavia, S. M. Ikhdairb c, K. E. Thylwed   

  1. a Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran;
    b Department of Electrical and Electronic Engineering, Near East University, 922022 Nicosia, North Cyprus, Mersin 10, Turkey;
    c Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine;
    d KTH-Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden
  • 收稿日期:2012-06-30 修回日期:2012-10-16 出版日期:2013-03-01 发布日期:2013-03-01

Spinless particles in the field of unequal scalar–vector Yukawa potentials

M. Hamzavia, S. M. Ikhdairb c, K. E. Thylwed   

  1. a Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran;
    b Department of Electrical and Electronic Engineering, Near East University, 922022 Nicosia, North Cyprus, Mersin 10, Turkey;
    c Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine;
    d KTH-Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden
  • Received:2012-06-30 Revised:2012-10-16 Online:2013-03-01 Published:2013-03-01
  • Contact: M. Hamzavi, S. M. Ikhdair, K. E. Thylwe E-mail:majid.hamzavi@gmail.com; sikhdair@neu.edu.tr, sikhdair@gmail.com; ket@mech.kth.se

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摘要： We present analytical bound state solutions of the spin-zero Klein-Gordon (KG) particles in the field of unequal mixture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a simple shortcut of Nikiforov-Uvarov (NU) method. Further, we solve the KG-Yukawa problem for its exact numerical energy eigenvalues via amplitude phase (AP) method to test the accuracy of the present solutions found by using the NU method. Our numerical tests using energy calculations demonstrate the existence of inter-dimensional degeneracy amongst the energy states of KG-Yukawa problem. The dependence of the energy on the dimension D is numerically discussed for spatial dimensions D=2-6.

关键词: Klein-Gordon equation, Yukawa potential, D-dimensional space, Nikiforov-Uvarov and amplitude phase methods

Abstract: We present analytical bound state solutions of the spin-zero Klein-Gordon (KG) particles in the field of unequal mixture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a simple shortcut of Nikiforov-Uvarov (NU) method. Further, we solve the KG-Yukawa problem for its exact numerical energy eigenvalues via amplitude phase (AP) method to test the accuracy of the present solutions found by using the NU method. Our numerical tests using energy calculations demonstrate the existence of inter-dimensional degeneracy amongst the energy states of KG-Yukawa problem. The dependence of the energy on the dimension D is numerically discussed for spatial dimensions D=2-6.

Key words: Klein-Gordon equation, Yukawa potential, D-dimensional space, Nikiforov–Uvarov and amplitude phase methods

中图分类号:  (Algebraic methods)

  • 03.65.Fd
03.65.Pm (Relativistic wave equations) 03.65.Ca (Formalism)