This study presents the solutions of three dimensional Klein-Gordon equation for the spherically and non-spherically harmonic oscillatory ring-shaped potentials within the framework of asymptotic iteration method. Using the method of variable separation, this study obtains the radial and angular equations. And then the bound states energy eigenvalues and corresponding eigenfunctions are obtained analytically.
REFERENCES
1.
J. Y.
Guo
, J. C.
Han
, and R. D.
Wang
, Phys. Lett. A
353
, 378
(2006
).2.
F. L.
Lu
and C. Y.
Chen
, Chin. Phys. B
19
, 100309
(2010
).3.
A. S.
Dutra
and G.
Chen
, Phys. Lett. A
349
, 297
(2006
).4.
5.
E.
Olğ
, R.
Koc
, and H.
Tutunculer
, Chin. Phys. Lett.
23
, 539
(2006
).6.
S. M.
Ikhdair
and R.
Sever
, J. Math. Phys.
52
, 122108
(2011
).7.
S. M.
Ikhdair
and R.
Sever
, J. Phys. A: Math. Theor.
44
, 355301
(2011
).8.
9.
C. Y.
Chen
, Phys. Lett. A
339
, 283
(2005
).10.
A.
de Souza Dutra
and M.
Hott
, Phys. Lett. A
356
, 215
(2006
).11.
Y. F.
Chen
and T. Q.
Dai
, Commun. Theor. Phys.
48
, 431
(2007
).12.
S. H.
Dong
and M.
Lozada-Cassou
, Phys. Scr.
74
, 215
(2006
).13.
F. L.
Lu
, C. Y.
Chen
, and D. S.
Sun
, Chin. Phys.
14
, 463
(2005
).14.
X. Q.
Hu
, G.
Luo
, Z. M.
Wu
, L. B.
Niu
, and Y.
Ma
, Commun. Theor. Phys.
53
, 242
(2010
).15.
T. F.
Sutherlan
, Phys. Rev. Lett.
80
, 3678
(1998
).16.
M. C.
Zhang
, G. H.
Sun
, and S. H.
Dong
, Phys. Lett. A
374
, 704
(2010
).17.
18.
G. H.
Sun
and S. H.
Dong
, Mod. Phys. Lett. A
25
, 2859
(2010
).19.
A. F.
Nikiforov
and V. B.
Uvarov
, Special Functions of Mathematical Physics
(Birkhauser
, Basel
, 1988
).20.
R.
Dutt
, A.
Gangopadhyaya
, and U. P.
Sukhatme
, Am. J. Phys.
65
, 400
(1997
).21.
B.
Gönü
and I.
Zorpa
, Phys. Lett. A
269
, 83
(2000
).22.
23.
O.
Bayrak
and I.
Boztosun
, J. Mol. Struct.: THEOCHEM
802
, 17
(2007
).24.
F.
Yasuk
and A.
Durmus
, Phys. Scr.
77
, 015005
(2008
).25.
A.
Durmus
and F.
Yasuk
, J. Chem. Phys.
126
, 074108
(2007
).26.
H.
Ciftci
, R. L.
Hall
, and N.
Saad
, J. Phys. A
36
, 11807
(2003
).27.
H.
Ciftci
, R. L.
Hall
, and N.
Saad
, Phys. Lett. A
340
, 388
(2005
).28.
B. J.
Falaye
, Cent. Eur. J. Phys.
10
(4
), 960
(2012
);29.
T.
Barakat
, J. Phys. A
36
, 823
(2006
).30.
F. M.
Fernandez
, J. Phys. A
37
, 6173
(2004
).31.
T.
Barakat
, Phys. Lett. A
344
, 411
(2005
).© 2012 American Institute of Physics.
2012
American Institute of Physics
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