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Journal of Mathematical Physics / Volume 53 / Issue 2 / ARTICLES / Quantum Mechanics (General and Nonrelativistic)

J. Math. Phys. 53, 022104 (2012); http://dx.doi.org/10.1063/1.3683078 (11 pages)

Dirac equation for generalized Pöschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method

H. Hassanabadi1, E. Maghsoodi1, S. Zarrinkamar2, and H. Rahimov3

1Physics Department, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran
2Young Researchers Club, Garmsar Branch, Islamic Azad University, Garmsar, Iran
3Computer Engineering Department, Shahrood University of Technology, Shahrood, Iran, P. O. Box: 3619995161-316, Shahrood, Iran

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(Received 20 November 2011; accepted 13 January 2012; published online 15 February 2012)

Approximate analytical solutions of spin and pseudospin symmetry limits of Dirac equation are reported for the generalized Pöschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method. On the contrary to the cumbersome numerical procedures, the analytical approach followed here can be followed even by the undergraduate students.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. DIRAC EQUATION INCLUDING TENSOR COUPLING
    1. Pseudospin symmetry limit
    2. Spin symmetry limit
  3. NIKIFOROV-UVAROV METHOD
    1. Exact bound-state solutions for pseudospin symmetry limit
    2. Exact bound-state solutions for spin symmetry limit
  4. CONCLUSION

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KEYWORDS and PACS

Keywords

Dirac equation, relativistic quantum mechanics, tensors

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3683078

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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