L2 series solutions of the Dirac equation for power-law potentials at rest mass energy

Journal of Physics A: Mathematical and General

Volumn 37, Issue 46, 2004, Pages 11229-11241

  Alhaidari, A D ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 9944249964     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/46/009     Document Type: Article

References (59)

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23. For more recent developments, see for example, Bagchi B and Quesne C 2004 J. Phys. A: Math. Gen. 37 L133 Sinha A, Lévai G and Roy P 2004 Phys. Lett. A 322 78 Chakrabarti B and Das T K 2002 Mod. Phys. Lett. A 17 1367 Roychoudhury R, Roy P, Zonjil M and Lévai G 2001 J. Math. Phys. 42 1996
24. For more recent developments, see for example, Bagchi B and Quesne C 2004 J. Phys. A: Math. Gen. 37 L133 Sinha A, Lévai G and Roy P 2004 Phys. Lett. A 322 78 Chakrabarti B and Das T K 2002 Mod. Phys. Lett. A 17 1367 Roychoudhury R, Roy P, Zonjil M and Lévai G 2001 J. Math. Phys. 42 1996
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27. Turbiner A V 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Adhikari R, Dutt R and Varshni Y 1989 Phys. Lett. A 141 1 Adhikari R, Dutt R and Varshni Y 1991 J. Math. Phys. 32 447 Roychoudhury R, Varshni Y P and Sengupta M 1990 Phys. Rev. A 42 184 Salem L D and Montemayor R 1991 Phys. Rev. A 43 1169 Lucht M W and Jarvis P D 1993 Phys. Rev. A 47 817 Ushveridze A G 1994 Quasi-exactly Solvable Models in Quantum Mechanics (Bristol: IOP)
28. Turbiner A V 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Adhikari R, Dutt R and Varshni Y 1989 Phys. Lett. A 141 1 Adhikari R, Dutt R and Varshni Y 1991 J. Math. Phys. 32 447 Roychoudhury R, Varshni Y P and Sengupta M 1990 Phys. Rev. A 42 184 Salem L D and Montemayor R 1991 Phys. Rev. A 43 1169 Lucht M W and Jarvis P D 1993 Phys. Rev. A 47 817 Ushveridze A G 1994 Quasi-exactly Solvable Models in Quantum Mechanics (Bristol: IOP)
29. Turbiner A V 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Adhikari R, Dutt R and Varshni Y 1989 Phys. Lett. A 141 1 Adhikari R, Dutt R and Varshni Y 1991 J. Math. Phys. 32 447 Roychoudhury R, Varshni Y P and Sengupta M 1990 Phys. Rev. A 42 184 Salem L D and Montemayor R 1991 Phys. Rev. A 43 1169 Lucht M W and Jarvis P D 1993 Phys. Rev. A 47 817 Ushveridze A G 1994 Quasi-exactly Solvable Models in Quantum Mechanics (Bristol: IOP)
30. Turbiner A V 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Adhikari R, Dutt R and Varshni Y 1989 Phys. Lett. A 141 1 Adhikari R, Dutt R and Varshni Y 1991 J. Math. Phys. 32 447 Roychoudhury R, Varshni Y P and Sengupta M 1990 Phys. Rev. A 42 184 Salem L D and Montemayor R 1991 Phys. Rev. A 43 1169 Lucht M W and Jarvis P D 1993 Phys. Rev. A 47 817 Ushveridze A G 1994 Quasi-exactly Solvable Models in Quantum Mechanics (Bristol: IOP)
31. Turbiner A V 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Adhikari R, Dutt R and Varshni Y 1989 Phys. Lett. A 141 1 Adhikari R, Dutt R and Varshni Y 1991 J. Math. Phys. 32 447 Roychoudhury R, Varshni Y P and Sengupta M 1990 Phys. Rev. A 42 184 Salem L D and Montemayor R 1991 Phys. Rev. A 43 1169 Lucht M W and Jarvis P D 1993 Phys. Rev. A 47 817 Ushveridze A G 1994 Quasi-exactly Solvable Models in Quantum Mechanics (Bristol: IOP)
32. Turbiner A V 1988 Commun. Math. Phys. 118 467 Shifman M A 1989 Int. J. Mod. Phys. A 4 2897 Adhikari R, Dutt R and Varshni Y 1989 Phys. Lett. A 141 1 Adhikari R, Dutt R and Varshni Y 1991 J. Math. Phys. 32 447 Roychoudhury R, Varshni Y P and Sengupta M 1990 Phys. Rev. A 42 184 Salem L D and Montemayor R 1991 Phys. Rev. A 43 1169 Lucht M W and Jarvis P D 1993 Phys. Rev. A 47 817 Ushveridze A G 1994 Quasi-exactly Solvable Models in Quantum Mechanics (Bristol: IOP)
33. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
34. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
35. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
36. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
37. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
38. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
39. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
40. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
41. For more recent developments, see for example, Debergh N and Van den Bossche B 2003 Int. J. Mod. Phys. A 18 5421 Atre R and Panigrahi P K 2003 Phys. Lett. A 317 46 Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 L161 Tkachuk V M and Fityo T V 2003 Phys. Lett. A 309 351 Brihaye Y and Hartmann B 2003 Phys. Lett. A 306 291 Ganguly A 2002 J. Math. Phys. 43 5310 Koc R, Koca M and Korcuk E 2002 J. Phys. A: Math. Gen. 35 L527 Debergh N, Ndimubandi J and Van den Bossche B 2002 Ann. Phys. 298 361 Debergh N, Van den Bossche B and Samsonov B F 2002 Int. J. Mod. Phys. A 17 1577
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57. Examples of textbook monographs on special functions and orthogonal polynomials are: Magnus W, Oberhettinger F and Soni R P 1966 Formulas and Theorems for the Special Functions of Mathematical Physics (New York: Springer) Chihara T S 1978 An Introduction to Orthogonal Polynomials (New York: Gordon and Breach) Szegö G 1997 Orthogonal Polynomials 4th edn (Providence, RI: American Mathematical Society) Askey R and Ismail M 1984 Recurrence Relations, Continued Fractions and Orthogonal Polynomials (Memoirs of the American Mathematical Society vol 49) (Providence, RI: American Mathematical Society) Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics: A Unified Introduction with Applications (Basilea: Birkhauser)
58. Examples of textbook monographs on special functions and orthogonal polynomials are: Magnus W, Oberhettinger F and Soni R P 1966 Formulas and Theorems for the Special Functions of Mathematical Physics (New York: Springer) Chihara T S 1978 An Introduction to Orthogonal Polynomials (New York: Gordon and Breach) Szegö G 1997 Orthogonal Polynomials 4th edn (Providence, RI: American Mathematical Society) Askey R and Ismail M 1984 Recurrence Relations, Continued Fractions and Orthogonal Polynomials (Memoirs of the American Mathematical Society vol 49) (Providence, RI: American Mathematical Society) Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics: A Unified Introduction with Applications (Basilea: Birkhauser)
59. Examples of textbook monographs on special functions and orthogonal polynomials are: Magnus W, Oberhettinger F and Soni R P 1966 Formulas and Theorems for the Special Functions of Mathematical Physics (New York: Springer) Chihara T S 1978 An Introduction to Orthogonal Polynomials (New York: Gordon and Breach) Szegö G 1997 Orthogonal Polynomials 4th edn (Providence, RI: American Mathematical Society) Askey R and Ismail M 1984 Recurrence Relations, Continued Fractions and Orthogonal Polynomials (Memoirs of the American Mathematical Society vol 49) (Providence, RI: American Mathematical Society) Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics: A Unified Introduction with Applications (Basilea: Birkhauser)