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Pseudospin symmetry solution of the Dirac equation with an angle-dependent potential

Cüneyt Berkdemir1 and Ramazan Sever2

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The pseudospin symmetry solution of the Dirac equation for spin 1/2 particles moving within the Kratzer potential connected with an angle-dependent potential is investigated systematically. The Nikiforov–Uvarov method is used to solve the Dirac equation. All of the studies are performed for the exact pseudospin symmetry (SU2) case and also the exact spin symmetry case is given briefly in the appendix. Bound-state solutions are presented to discuss the contribution of the angle-dependent potential to the relativistic energy spectra in the full description case which is either unavailable or excessively complicated.


PACS

03.65.Pm Relativistic wave equations

03.65.Ge Solutions of wave equations: bound states

02.10.Ud Linear algebra

03.65.Fd Algebraic methods

MSC

15A18 Eigenvalues, singular values, and eigenvectors

31Axx Two-dimensional theory

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

81R15 Operator algebra methods (See also 46Lxx, 81T05)

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 4 (1 February 2008)

Received 16 October 2007, in final form 6 December 2007

Published 15 January 2008



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