1. 1. 2. 3. 4. 5. 6. 7. 8. 9. © Dirac And Klein-Gordon Equations With Equal Scalar And Vector Potentials Alhaidari, AD; Bahlouli, H; Al-Hasan, A ELSEVIER SCIENCE BV, PHYSICS LETTERS A; pp: 87-97; Vol: 349 King Fahd University of Petroleum & Minerals http://www.kfupm.edu.sa Summary We study the three-dimensional Dirac and Klein-Gordon equations with scalar and vector potentials of equal magnitudes as an attempt to give a proper physical interpretation of this class of problems which has recently been accumulating interest. We consider a large class of these problems in which the potentials are noncentral (angular-dependent) such that the equations separate completely in spherical coordinates. The relativistic energy spectra are obtained and shown to differ from those of well-known problems that have the same nonrelativistic limit. Consequently, such problems should not be misinterpreted as the relativistic extension of the given potentials despite the fact that the nonrelativistic limit is the same. The Coulomb, oscillator and Hartmann potentials are considered. Additionally, we investigate the Klein-Gordon equation with uneven mix of potentials leading to the correct relativistic extension. We consider the case of spherically symmetric exponential-type potentials resulting in the S-wave Klein-Gordon-Morse problem. (c) 2005 Elsevier B.V. All rights reserved. References: ABRAMOWITZ M, 1964, HDB MATH FUNCTIONS AHARONOV Y, 1959, PHYS REV, V115, P485 ALHAIDARI AD, 2001, PHYS REV LETT, V87, ARTN 210405 ALHAIDARI AD, 2002, PHYS REV LETT, V88, ARTN 189901 ALHAIDARI AD, 2005, FDN PHYS LETT, V18, P673 ALHAIDARI AD, 2005, J PHYS A-MATH GEN, V38, P3409, DOI 10.1088/0305-4470/38/15/012 BJORKEN JD, 1964, RELATIVISTIC QUANTUM CHEN CY, 2003, ACTA PHYS SIN-CH ED, V52, P1579 Copyright: King Fahd University of Petroleum & Minerals; http://www.kfupm.edu.sa

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3. © For pre-prints please write to: haidari@mailaps.org; bahlouli@kfupm.edu.sa; aawahab76@yahoo.com Copyright: King Fahd University of Petroleum & Minerals; http://www.kfupm.edu.sa