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Ikhdair, Sameer M.

An approximate \(\kappa\) state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry. (English) Zbl 1317.81105

J. Math. Phys. 52, No. 5, 052303, 22 p. (2011).
Summary: By using an improved approximation scheme to deal with the centrifugal (pseudo-centrifugal) term, we solve the Dirac equation for the generalized Morse potential with arbitrary spin-orbit quantum number \(\kappa\). In the presence of spin and pseudospin symmetry, the analytic bound state energy eigenvalues and the associated upper- and lower-spinor components of two Dirac particles are found by using the basic concepts of the Nikiforov-Uvarov method. We study the special cases when \(\kappa = \pm 1\; (l = \widetilde{l} = 0, s-\text{wave})\), the non-relativistic limit and the limit when {\(\alpha\)} becomes zero (Kratzer potential model). The present solutions are compared with those obtained by other methods.{
©2011 American Institute of Physics}

Cited in 17 Documents

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81V45 Atomic physics

Keywords:

spin-orbit quantum number; Nikiforov-Uvarov metho
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References:

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