Relativistic shifted-l expansion technique for Dirac and Klein-Gordon equations

Details Relativistic shifted-l expansion technique for Dirac and Klein-Gordon equations Relativistic shifted-l expansion technique for Dirac and Klein-Gordon equations

1999-10-25

arxiv.org/abs/math-ph/9910039v1

Commun. Theor. Phys. 29 (1998) 587-594

Physics

Mathematical Physics

20 pages, Latex file

Scientific paper

The shifted-i expansion technique (SLET) is extended to solve for Dirac particle trapped in spherically symmetric scalar and/or 4-vector potentials. A parameter {\lambda}=0,1 is introduced in such a way that one can obtain the Klein-Gordon (KG) bound states from Dirac bound states. The 4-vector Coulomb, the scalar linear, and the equally mixed scalar and 4-vector power-law potentials are used in KG and Dirac equations. Exact numerical results are obtained for the 4-vector Coulomb potential in both KG and Dirac equations. Highly accurate and fast converging results are obtained for the scalar linear and the equally mixed scalar and 4-vector power-law potentials.

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