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A new ring-shaped noncentral potential is proposed and the exact complete solutions of the Schrö,dinger equation with this potential are presented by the Nikiforov-Uvarov method.The effect of the angle-dependent part on the radial solutions and some particular cases of this potential are also discussed.
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Keywords:
- ring-shaped noncentral potential /
- Schrö /
- dinger equation /
- bound state /
- Nikiforov-Uvarov method
[1] Makarov A A, Smorodinsky J A, Valiev K, Winternitz P 1967 Nuovo Cimento A 52 1061
[2] Kibler M, Lamot G H, Winternitz P 1992 Int. J. Quant. Chem. 43 625
[3] Hartmann H 1972 Theor. Chim. Acta 24 201
[4] Quesne C 1988 J. Phys. A: Math. Gen. 21 3093
[5] Khare A, Bhaduri R K 1994 Am. J. Phys. 62 1008
[6] Chen C Y, Lu F L, Sun D S, Liu C L 2004 Acta Phys. Sin. 53 973 (in Chinese) [陈昌远、陆发林、孙东升、刘成林2004 53 937]
[7] Lu F L, Chen C Y, Sun D S 2005 Chin. Phys. 14 463
[8] Zhang X A, Chen K, Duan Z L 2005 Chin. Phys. 14 42
[9] Alhaidari A D 2005 J. Phys. A: Math. Gen. 38 3409
[10] Gincchio J N 2004 Phys. Rev. C 69 034318
[11] Kibler M, Negadi T 1984 Int. J. Quant Chem. 26 405
[12] Dutt R, Gangopadhyaya A, Sukhatme U P 1997 Am. J. Phys. 65 400
[13] Gnül B, Zorba 2000 Phys. Lett. A 269 83
[14] Chen Z D, Chen G 2005 Acta Phys. Sin. 54 2524 (in Chinese) [陈子栋、陈 刚 2004 54 2524]
[15] Schulze-Halberg A, Zamora-Gallardo E, Pena J J 2009 Int. J. Quant. Chem. 109 1464
[16] Zhedanov A S 1993 J. Phys. A: Math. Gen. 26 4633
[17] Kerimov G A 2007 J. Phys. A: Math. Gen. 40 7297
[18] Ya uk F, Berkdemir C, Berkdemir A 2005 J. Phys. A: Math. Gen. 38 6579
[19] Berkdemir C 2009 J. Math. Chem. 46 139
[20] Berkdemir C, Cheng Y F 2009 Phys. Scr. 79 035003
[21] Hautot A 1973 J. Math. Phys. 14 1320
[22] Dong S H, Chen C Y, Lozada-Cassou M 2005 Int.J.Quant.Chem. 105 453
[23] Nikiforov A F, Uvarov V B 1988 Special Functions of Mathematical Physics (Basle: Birkhauser)
[24] Liu S K , Liu S D 2000 Special Function 2nd Ed.( Beijing:Meteorology Press ) (in Chinese)[刘式适、刘式达2002 特殊函数 第二版 (北京:气象出版社)]
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[1] Makarov A A, Smorodinsky J A, Valiev K, Winternitz P 1967 Nuovo Cimento A 52 1061
[2] Kibler M, Lamot G H, Winternitz P 1992 Int. J. Quant. Chem. 43 625
[3] Hartmann H 1972 Theor. Chim. Acta 24 201
[4] Quesne C 1988 J. Phys. A: Math. Gen. 21 3093
[5] Khare A, Bhaduri R K 1994 Am. J. Phys. 62 1008
[6] Chen C Y, Lu F L, Sun D S, Liu C L 2004 Acta Phys. Sin. 53 973 (in Chinese) [陈昌远、陆发林、孙东升、刘成林2004 53 937]
[7] Lu F L, Chen C Y, Sun D S 2005 Chin. Phys. 14 463
[8] Zhang X A, Chen K, Duan Z L 2005 Chin. Phys. 14 42
[9] Alhaidari A D 2005 J. Phys. A: Math. Gen. 38 3409
[10] Gincchio J N 2004 Phys. Rev. C 69 034318
[11] Kibler M, Negadi T 1984 Int. J. Quant Chem. 26 405
[12] Dutt R, Gangopadhyaya A, Sukhatme U P 1997 Am. J. Phys. 65 400
[13] Gnül B, Zorba 2000 Phys. Lett. A 269 83
[14] Chen Z D, Chen G 2005 Acta Phys. Sin. 54 2524 (in Chinese) [陈子栋、陈 刚 2004 54 2524]
[15] Schulze-Halberg A, Zamora-Gallardo E, Pena J J 2009 Int. J. Quant. Chem. 109 1464
[16] Zhedanov A S 1993 J. Phys. A: Math. Gen. 26 4633
[17] Kerimov G A 2007 J. Phys. A: Math. Gen. 40 7297
[18] Ya uk F, Berkdemir C, Berkdemir A 2005 J. Phys. A: Math. Gen. 38 6579
[19] Berkdemir C 2009 J. Math. Chem. 46 139
[20] Berkdemir C, Cheng Y F 2009 Phys. Scr. 79 035003
[21] Hautot A 1973 J. Math. Phys. 14 1320
[22] Dong S H, Chen C Y, Lozada-Cassou M 2005 Int.J.Quant.Chem. 105 453
[23] Nikiforov A F, Uvarov V B 1988 Special Functions of Mathematical Physics (Basle: Birkhauser)
[24] Liu S K , Liu S D 2000 Special Function 2nd Ed.( Beijing:Meteorology Press ) (in Chinese)[刘式适、刘式达2002 特殊函数 第二版 (北京:气象出版社)]
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