Please wait a minute...
Chinese Physics, 2003, Vol. 12(10): 1054-1057    DOI: 10.1088/1009-1963/12/10/302
GENERAL Prev   Next  

Bound states of the Klein-Gordon and Dirac equations for potential $V(r)=Ar^{-2}-Br^{-1}$

Qiang Wen-Chao (强稳朝)
Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
Abstract  The exact normalized bound-state wavefunctions and energy equations of Klein-Gordon and Dirac equations are given with equal scalar and vector potentials $s(r)=v(r)=V(r)/2=(Ar^{-2}-Br^{-1})/2$.
Keywords:  Coulomb potential      inverse square potential      Klein-Gordon equation      Dirac equation      bound-state  
Received:  24 January 2003      Revised:  16 June 2003      Accepted manuscript online: 
PACS:  03.65.Pm (Relativistic wave equations)  
  03.65.Ge (Solutions of wave equations: bound states)  

Cite this article: 

Qiang Wen-Chao (强稳朝) Bound states of the Klein-Gordon and Dirac equations for potential $V(r)=Ar^{-2}-Br^{-1}$ 2003 Chinese Physics 12 1054

[1] Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach
Wen-Li Chen(陈文利) and I B Okon. Chin. Phys. B, 2022, 31(5): 050302.
[2] Wave packet dynamics of nonlinear Gazeau-Klauder coherent states of a position-dependent mass system in a Coulomb-like potential
Faustin Blaise Migueu, Mercel Vubangsi, Martin Tchoffo, and Lukong Cornelius Fai. Chin. Phys. B, 2021, 30(6): 060309.
[3] Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation
Mahmoud Farout, Ramazan Sever, Sameer M. Ikhdair. Chin. Phys. B, 2020, 29(6): 060303.
[4] Approximate energies and thermal properties of a position-dependent mass charged particle under external magnetic fields
M Eshghi, H Mehraban, S M Ikhdair. Chin. Phys. B, 2017, 26(6): 060302.
[5] Ionization in an intense field considering Coulomb correction
Jian Li(李健), Yi-Ning Huo(霍一宁), Zeng-Hua Tang(唐增华), Feng-Cai Ma(马凤才). Chin. Phys. B, 2017, 26(2): 023203.
[6] Electron localization of H2+ in a dc electric field
Z M Jia(贾正茂), Z N Zeng(曾志男), W T Tang(唐文涛), R X Li(李儒新). Chin. Phys. B, 2017, 26(1): 013201.
[7] Electron localization of linear symmetric molecular ion H32+
Zheng-Mao Jia(贾正茂), Zhi-Nan Zeng(曾志男), Ru-Xin Li(李儒新). Chin. Phys. B, 2017, 26(1): 013203.
[8] Photoelectron angular distributions of H ionization in low energy regime: Comparison between different potentials
Shu-Na Song(宋舒娜), Hao Liang(梁昊), Liang-You Peng(彭良友), Hong-Bing Jiang(蒋红兵). Chin. Phys. B, 2016, 25(9): 093201.
[9] Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method
Resita Arum Sari, A Suparmi, C Cari. Chin. Phys. B, 2016, 25(1): 010301.
[10] Approximate analytical solution of the Dirac equation with q-deformed hyperbolic Pöschl-Teller potential and trigonometric Scarf Ⅱ non-central potential
Ade Kurniawan, A. Suparmi, C. Cari. Chin. Phys. B, 2015, 24(3): 030302.
[11] Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential
L. B. Castro, A. S. de Castro. Chin. Phys. B, 2014, 23(9): 090301.
[12] Solution of Dirac equation around a charged rotating black hole
Lü Yan (吕嫣), Hua Wei (花巍). Chin. Phys. B, 2014, 23(4): 040403.
[13] Bound state solutions of the Dirac equation with the Deng–Fan potential including a Coulomb tensor interaction
S. Ortakaya, H. Hassanabadi, B. H. Yazarloo. Chin. Phys. B, 2014, 23(3): 030306.
[14] Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method
M. Eshghi, S. M. Ikhdair. Chin. Phys. B, 2014, 23(12): 120304.
[15] Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction
Sameer M. Ikhdair, Majid Hamzavi. Chin. Phys. B, 2013, 22(9): 090305.
No Suggested Reading articles found!