© 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 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 ALHAIDARI AD, 2002, PHYS REV LETT, V88, ARTN ALHAIDARI AD, 2005, FDN PHYS LETT, V18, P673 ALHAIDARI AD, 2005, J PHYS A-MATH GEN, V38, P3409, DOI / /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;

© CHEN CY, 2004, PHYS LETT A, V330, P424, DOI /j/physleta CHEN CY, 2005, PHYS LETT A, V339, P283, DOI /j.physleta CHEN G, 2001, ACTA PHYS SIN-CH ED, V50, P1651 CHEN G, 2003, ACTA PHYS SIN-CH ED, V52, P2954 CHEN G, 2004, ACTA PHYS SIN-CH ED, V53, P680 CHEN G, 2004, CHINESE PHYS, V13, P279 CHEN G, 2004, PHYS LETT A, V331, P374, DOI /j.physleta CHEN G, 2005, PHYS LETT A, V339, P300, DOI /j.physleta DELANGE OL, 1991, J PHYS A-MATH GEN, V24, P667 DIAO YF, 2004, PHYS LETT A, V332, P157, DOI /j.physleta EHRENBERG W, 1949, P PHYS SOC LONDON B, V62, P8 FRANZ W, 1939, VERH DTSCH PHYS GES, V20, P65 GINOCCHIO JN, 1997, PHYS REV LETT, V78, P436 GINOCCHIO JN, 1998, PHYS LETT B, V425, P1 GINOCCHIO JN, 2001, PHYS REV LETT, V87, ARTN GINOCCHIO JN, 2004, PHYS REV C, V69, ARTN GOODMAN B, 1997, AM J PHYS, V65, P214 GREINER W, 2000, RELATIVISTIC QUANTUM HARTMANN H, 1972, THEOR CHIM ACTA, V24, P201 HARTMANN H, 1976, THEOR CHIM ACTA, V46, P1 HARTMANN H, 1980, INT J QUANTUM CHEM, V18, P125 LU FL, 2004, ACTA PHYS SIN-CH ED, V53, P1652 LU FL, 2005, CHINESE PHYS, V14, P463 MAGNUS W, 1966, FORMULAS THEOREMS SP MOSHINSKY M, 1989, J PHYS A, V22, L817 QIANG WC, 2002, CHINESE PHYS, V11, P757 QIANG WC, 2003, CHINESE PHYS, V12, P1054 QIANG WC, 2003, CHINESE PHYS, V12, P136 QIANG WC, 2004, CHINESE PHYS, V13, P283 QIANG WC, 2004, CHINESE PHYS, V13, P571 QIANG WC, 2004, CHINESE PHYS, V13, P575 RAN YQ, 2002, ACTA PHYS SIN-CH ED, V51, P2435 SU JY, 1985, PHYS REV A, V32, P3251 SZEGO G, 1997, ORTHOGONAL POLYNOMIA SZMYTKOWSKI R, 2001, J PHYS A-MATH GEN, V34, P4991 THALLER B, 1992, DIRAC EQUATION VAIDYA AN, 1990, J MATH PHYS, V31, P1951 WONG MKF, 1982, PHYS REV D, V25, P3396 YI LZ, 2004, PHYS LETT A, V333, P212, DOI /j.physleta ZHANG XA, 2005, CHINESE PHYS, V14, P42 Copyright: King Fahd University of Petroleum & Minerals;

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