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Dirac particle in generalized Pöschl–Teller field including a Coulomb‐like tensor coupling: super‐symmetric solution
Author(s) -
Eshghi Mahdi,
Ikhdair Sameer M.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3018
Subject(s) - mathematical physics , physics , eigenvalues and eigenvectors , tensor (intrinsic definition) , quantum mechanics , coulomb , dirac equation , spin (aerodynamics) , degeneracy (biology) , mathematics , geometry , thermodynamics , electron , bioinformatics , biology
In the presence of pseudo‐spin (p‐spin) and spin symmetries, we use the super‐symmetric formalism to solve the Dirac equation with the generalized Pöschl–Teller potential including the Coulomb‐like tensor interaction with any arbitrary spin‐orbit quantum number κ .. Using the Greene–Aldrich usual approximation scheme to deal with pseudo‐centrifugal or centrifugal rotational kinetic energy l ( l + 1) ∕ r 2 orl ̃l ̃ + 1 ∕ r 2 , we obtain the Pseudo‐spin and spin‐symmetric energy eigenvalue equation and the normalized upper and lower components of the radial wave functions in closed form. The presence of the tensor coupling interaction removes the degeneracy in the p‐spin and spin doublets. Copyright © 2013 John Wiley & Sons, Ltd.