1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. © Solution Of The Dirac Equation For Potential Interaction Alhaidari, AD WORLD SCIENTIFIC PUBL.

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© Solution Of The Dirac Equation For Potential Interaction Alhaidari, AD WORLD SCIENTIFIC PUBL CO PTE LTD, INTERNATIONAL JOURNAL OF MODERN PHYSICS A; pp: ; Vol: 18 King Fahd University of Petroleum & Minerals Summary An effective approach for solving the three-dimensional Dirac equation for spherically symmetric local interactions, which we have introduced recently, is reviewed and consolidated. The merit of the approach is in producing Schrodinger- like equations for the spinor components that could simply be solved by correspondence with well-known exactly solvable nonrelativistic problems. Taking the nonrelativistic limit will reproduce the nonrelativistic problem. The approach has been used successfully in establishing the relativistic extension of all classes of shape- invariant potentials as well as other exactly solvable nonrelativistic problems. These include the Coulomb, Oscillator, Scarf, Poschl-Teller, Woods-Saxon, etc. References: ADHIKARI R, 1989, PHYS LETT A, V141, P1 ADHIKARI R, 1991, J MATH PHYS, V32, P447 ALHAIDARI AD, HEPTH ALHAIDARI AD, 2001, PHYS REV LETT, V87, ARTN ALHAIDARI AD, 2002, INT J MOD PHYS A, V17, P4551 ALHAIDARI AD, 2002, J PHYS A-MATH GEN, V35, P6207 ALHAIDARI AD, 2002, PHYS REV A A, V65, ARTN ALHAIDARI AD, 2002, PHYS REV A, V66, ARTN ALHAIDARI AD, 2002, PHYS REV LETT, V88, ARTN ALHASSID Y, 1983, ANN PHYS-NEW YORK, V148, P346 ALHASSID Y, 1983, PHYS REV LETT, V50, P873 ALHASSID Y, 1985, PHYS REV LETT, V54, P1746 ALHASSID Y, 1986, ANN PHYS-NEW YORK, V167, P181 ALHASSID Y, 1986, PHYS REV LETT, V56, P271 ARAI A, 1989, J MATH PHYS, V30, P1164 BENTEZ J, 1990, PHYS REV LETT, V64, P1643 BHATTACHARJIE A, 1962, NUOVO CIMENTO, V25, P864 Copyright: King Fahd University of Petroleum & Minerals;

© BJORKEN JD, 1965, RELATIVISTIC QUANTUM COOPER F, 1983, ANN PHYS-NEW YORK, V146, P262 COOPER F, 1987, PHYS REV D, V36, P2438 COOPER F, 1995, PHYS REP, V251, P267 DE R, 1992, J PHYS A, V25, L843 DECASTRO AS, 2002, J PHYS A-MATH GEN, V35, P6203 DELANGE OL, 1991, J PHYS A-MATH GEN, V24, P667 DESOUZADUTRA A, 1993, PHYS REV A, V47, P2435 DUTT R, 1988, AM J PHYS, V56, P163 DUTT R, 1991, AM J PHYS, V59, P723 DUTT R, 1995, J PHYS A, V28, P107 ENGLEFIELD MJ, 1991, J PHYS A-MATH GEN, V24, P3557 FLUGGE S, 1974, PRACTICAL QUANTUM ME, P165 GENDENSHTEIN LE, 1983, JETP LETT, V38, P356 GENDENSHTEIN LE, 1983, PISMA V JETP, V38, P299 GOLDSTEIN HG, 1986, CLASSICAL MECH GROSCHE C, 1995, J PHYS A-MATH GEN, V28, P5889 GROSCHE C, 1996, J PHYS A-MATH GEN, V29, P365 GUO JY, 2002, PHYS REV A, V66, ARTN JUNKER G, 1990, J PHYS A, V23, L881 LEVAI G, 1989, J PHYS A-MATH GEN, V22, P689 LEVAI G, 1994, J PHYS A-MATH GEN, V27, P3809 LEVAI G, 1998, PHYS LETT A, V270, P155 LUCHT MW, 1993, PHYS REV A, V47, P817 MAGNUS W, 1966, FORMULAS THEOREMS SP MANNING MF, 1935, PHYS REV, V48, P161 MILLER W, 1968, LIE THEORY SPECIAL F MONTEMAYOR R, 1987, PHYS REV A, V36, P1562 MOSHINSKY M, 1989, J PHYS A, V22, L817 NAG N, 1994, PHYS REV A, V49, P5098 NATANZON GA, 1979, TEOR MAT FIZ, V38, P219 PAK NK, 1984, PHYS LETT A, V103, P298 ROYCHOUDHURY R, 1990, PHYS REV A, V42, P184 ROYCHOUDHURY R, 2001, J MATH PHYS, V42, P1996 ROZMEJ P, 1999, J PHYS A-MATH GEN, V32, P5367 SALEM LD, 1991, PHYS REV A, V43, P1169 SHIFMAN MA, 1989, INT J MOD PHYS A, V4, P2897 SUKUMAR CV, 1985, J PHYS A-MATH GEN, V18, P2917 SZMYTKOWSKI R, 2001, J PHYS A-MATH GEN, V34, P4991 TURBINER AV, 1988, COMMUN MATH PHYS, V118, P467 USHVERIDZE AG, 1994, QUASI EXACTLY SOLVAB VAIDYA AN, 2002, J PHYS A-MATH GEN, V35, P6205 VAIDYA AN, 2002, PHYS REV LETT, V89, UNSP VILLALBA VM, 1994, PHYS REV A, V49, P586 WITTEN E, 1981, NUCL PHYS B, V188, P513 Copyright: King Fahd University of Petroleum & Minerals;

© WU J, 1990, J MATH PHYS, V31, P557 WYBOURNE BG, 1974, CLASSICAL GROUPS PHY For pre-prints please write to: Copyright: King Fahd University of Petroleum & Minerals;