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提出了一个新的环状非有心势模型. 利用Nikiforov-Uvarov方法求解了其满足的Schrö,dinger方程,得到了束缚态波函数的精确解及能谱方程. 讨论了角向分量对径向分量的影响及相关参数取特定值时的特殊情况.
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关键词:
- 环状非有心势 /
- Schrö /
- dinger方程 /
- 束缚态 /
- Nikiforov-Uvarov方法
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.-
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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