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Exact solutions of the Schr?dinger equation for a ring-shaped noncentral potential

Zhang Min-Cang Huangfu Guo-Qing

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Exact solutions of the Schr?dinger equation for a ring-shaped noncentral potential

Zhang Min-Cang, Huangfu Guo-Qing
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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.
    [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物理学报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]

    Gnül 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 物理学报 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)]

  • [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物理学报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]

    Gnül 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 物理学报 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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  • Abstract views:  7081
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Publishing process
  • Received Date:  14 November 2009
  • Accepted Date:  24 December 2009
  • Published Online:  05 May 2010

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