摘要We show that a wide class of non-central potentials can be analysed via the improved picture of the Nikiforov--Uvarov method [Physica Scripta 75(2007)686]. It has been shown that using the alternative approach, polynomial solutions of three-dimensional separable non-central potential can be obtained.
Abstract:We show that a wide class of non-central potentials can be analysed via the improved picture of the Nikiforov--Uvarov method [Physica Scripta 75(2007)686]. It has been shown that using the alternative approach, polynomial solutions of three-dimensional separable non-central potential can be obtained.
[1] Bender C M, Wang Q 2001 J. Phys. A 34 9835 [2] Znojil M, Yanovich D, Gerdt V P 2003 J. Phys. A 36 6531 [3] Levai G, Sinha A and Roy P 2003 J. Phys. A 367611 [4] Gagnon L and Winternitz P 1989 J. Phys. A 22 469 Stump D R 1998 Eur. J. Phys. 19 299 [5] A Khare, R K Bhaduri 1994 Am. J. Phys. 62 1008 [6] Makowski A J 2003 Phys. Rev. A 68 022102 [7] Murat M, Kantor M Y 2006 Phys. Rev. E 74031124 [8] Guseinov I I 2004 J. Phys. A 37 957 [9] Gang C and Zi-Dong C 2004 Chin. Phys. 13445 [10] Bentag B, Chetouani L 2000 Czech. J. Phys. 50593 [11] Belov A A, Lozovik Y E 1990 Theor. Math. Phys 82 62 [12] Dutt R, Gangopadhyaya A, Sukhatme U P 1997 Am. J.Phys. 65 400 [13] Kaushal R S 1991 Annal. Phys. 206 90 [14] Makarov A A, Smorodinsky J A, Valiev K, Winternitz 1967 Nuovo Cimento A 52 1061 [15] Kerimov G A 2006 J. Phys. A 39 1183 Kerimov G A 2006 Phys. Lett. A 358 176. [16] Kaushal R S 1992 Phys. Rev. A 46 2941 [17] G\"{on\"{ul B, Ko\c{cak M 2005 Mod. Phys. Lett.A 20 355 [18] Akta\c{s M, Sever R 2005 J. Math. Chem. 37139 [19] Alhaidari A D, Bahlouli H, Al-Hasan A Phys. Lett. A2006 349 87 Alhaidari A D 2005 Foundations of Phys. Lett. 18651 Alhaidari A D 2005 J. Phys. A 38 3409 [20] Basco F, Bernido C C, Carpio-Bernido M V 1991 Phys.Lett. A 157 461 [21] S\"{okmen I 1986 Phys. Lett. A 118 249 [22] Mandal B P 2000 Int. J. Mod. Phys. A 15 1225 [23] Dong S, Chen C and Cassou M L 2005 Int. J. QuantumChem. 105 453 [24] G\"{on\"{ul B Zorba I 2000 Phys. Lett. A 269 83 [25] Ikhdair S M and Sever R 2007 Int. J. Theor. Phys 46 2384 [26] Nikiforov A F and Uvarov V B 1988 Special Functionsof Mathematical Physics (Basel: Birkhauser) [27] G\"{on\"{ul B, K\"{oksal K 2007 PhysicaScripta 75 686 [28] Ye\c{silta\c{s \"{O 2007 Physica Scripta 75 41 [29] Levai G 1989 J. Phys. A 22 689 [30] de Lange O L and Raab R E 1991 Operator Methods inQuantum Mechanics (Oxford: Clarendon) [31] Chen J L, Liu Y and Ge M L 1998 J. Phys. A 316473 [32] Quesne C 1999 J. Phys. A 32 6705