2009/12/03 by Sameer M. Ikhdair · 73 citations
Mathematics · Physics and Astronomy · #Bound state #Dirac (video compression format) #Dirac algebra #Dirac equation #Dirac sea #Dirac spinor #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #Spinor #Symmetry (geometry) #Term (time) #quant-ph
paper · pdf · doi:10.1063/1.3293759
published in Journal of Mathematical Physics 51(2) (American Institute of Physics) · 23 pages
arxiv created 2009/12/03 · openalex publication_date 2010/02/01 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We give the approximate analytic solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term. In the framework of the spin and pseudospin symmetry concept, we obtain the analytic bound state energy spectra and the corresponding two-component upper and lower spinors of the two Dirac particles, in closed form, by means of the Nikiforov–Uvarov method. The special cases of the s-wave κ=±1 (l=l̃=0) Rosen–Morse potential, the Eckart-type potential, the PT-symmetric Rosen–Morse potential, and the nonrelativistic limits are briefly studied.