Effect of tensor interaction in the Diracattractive radial problem under pseudospin symmetry limit
Abstract
We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential, including a Coulomblike tensor interaction under pseudospin symmetry limit for any spinorbit quantum number κ. By using the parametric generalization of the NikiforovUvarov method, the energy eigenvalues equation and the corresponding wave functions have been obtained in closed forms. Some numerical results are also given. We presented tensor interaction removes degeneracy between two states in pseudospin doublets.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 August 2012
 DOI:
 10.1063/1.4739434
 arXiv:
 arXiv:1208.0453
 Bibcode:
 2012JMP....53h2101H
 Keywords:

 Dirac equation;
 eigenvalues and eigenfunctions;
 quantum theory;
 tensors;
 wave functions;
 03.65.Pm;
 03.65.Ta;
 02.10.Ud;
 03.65.Fd;
 Relativistic wave equations;
 Foundations of quantum mechanics;
 measurement theory;
 Linear algebra;
 Algebraic methods;
 Quantum Physics;
 Mathematical Physics
 EPrint:
 13 pages, 2 figures