Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential

doi:10.1088/1674-1056/22/10/100303

Abstract The three-dimensional Klein-Gordon equation is solved for the case of equal vector and scalar second Pöschl–Teller potential by proper approximation of the centrifugal term within the framework of the asymptotic iteration method. Energy eigenvalues and the corresponding wave function are obtained analytically. Eigenvalues are computed numerically for some values of n and l. It is found that the results are in good agreement with the findings of other methods for short-range potential.

Keywords: second Pöschl–Teller potential asymptotic iteration eigenvalues eigenfunction

Received: 29 January 2013
Revised: 29 March 2013
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Pm	(Relativistic wave equations)

Corresponding Authors: Ekele V. Aguda, Amos S. Idowu
E-mail: vincentekele@yahoo.com;sesan@unilorin.edu.ng

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Ekele V. Aguda, Amos S. Idowu Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential 2013 Chin. Phys. B 22 100303

[1]	Qiang W C and Dong S H 2008 Phys. Lett. A 372 4789
[2]	Bagrov V G and Gitman D M 1990 Exact Solution of Relativistic Wave Equations (Dordrecht: Kluwer Academic)
[3]	Miranda M G, Sun G H and Dong S H 2010 Int. J. Mod. Phys. E 19 123
[4]	Dong S H, Qiang W C and Gracía-Ravelo J 2008 J. Int. Mod. Phys. A 23 1537
[5]	Dominguez-Adame F 1989 Phys. Lett. A 136 175
[6]	Chen G, Chen Z D and Lou Z M 2004 Phys. Lett. A 331 374
[7]	Simsek M and Eğrifes H 2004 J. Phys. A: Math. Gen. 37 4379
[8]	Lu F L, Chen C Y and Sun D S 2005 Chin. Phys. 14 463
[9]	Yasuk F and Durmus A 2008 Phys. Scr. 77 015005
[10]	Dong S H and Lozada-Cassou M 2006 Phys. Scr. 74 285
[11]	Chen C Y 2005 Phys. Lett. A 339 283
[12]	Chen Z D and Chen G 2005 Acta Phys. Sin. 54 2524 (in Chinese).
[13]	Ni Z X 1999 Chin. Phys. 8 8
[14]	Kocak M 2007 Chin. Phys. Lett. 24 315
[15]	Ma Z Q, Dong S H, Gu X Y, Yu J and Lozada-Cassou M 2004 Int. J. Mod. Phys. E 13 597
[16]	Dong S H 2011 Commun. Theor. Phys. 55 969
[17]	Falaye B J 2012 Few-Body System 53 563
[18]	Falaye B J 2012 Cent. Eur. J. Phys. 10 960
[19]	Durmus A and Yasuk F 2007 J. Chem. Phys. 126 074108
[20]	Ciftci H, Hall R L and Saad N 2003 J. Phys. A: Math Gen. 36 11807
[21]	Ciftci H, Hall R L and Saad N 2005 Phys. Lett. A 340 388
[22]	Falaye B J 2012 J. Math. Phys. 53 082107
[23]	Yahya Y A, Oyewumi K J, Akoshile C O and Ibrahim T T 2010 J. Vec. Rel. 5 27
[24]	Hassanabadi H, Maghsoodi E, Zarrinkamar S and Rahimov H 2012 J. Math. Phys. 53 022104
[25]	Ikhdair S M and Sever R 2009 Ann. Phys. (Berlin) 18 189
[26]	Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics (Basel: Birkhauser)
[27]	Zhang M C, Sun G H and Dong S H 2010 Phys. Lett. A 374 704
[28]	Qiang W C and Dong S H 2010 Europhys. Lett. 89 10003
[29]	Ma Z Q, Gonzalez-Cisneros A, Xu BWand Dong S H 2007 Phys. Lett. A 371 180
[30]	Dong S H and Gonzalez-Cisneros A 2008 Ann. Phys. 323 1136
[31]	Serrano F A, Gu X Y and Dong S H 2010 J. Math. Phys. 51 082103
[32]	Serrano F A, CruzIrisson M and Dong S H 2011 Ann. Phys. (Berlin) 523 771
[33]	Qiang W C and Dong S H 2007 Phys. Lett. A 368 13
[34]	Dong S H 2009 Int J. Quantum Chem. 109 701
[35]	Gu X Y and Dong S H 2008 Phys. Lett. A 372 1972
[36]	Oyewumi K J, Ibbrahim T T, Ajibola S O and Ajadi D A 2010 J. Vec. Rel. 5 19
[37]	Wei G F, Dong S H and Bezarra V B 2009 J. Int. Mod. Phys. A 24 161
[38]	Barakat T 2006 J. Phys. A: Math. Gen. 36 823
[39]	Fernandez F M 2004 J. Phys. A: Math. Gen. 37 6173
[40]	Barakat T 2005 Phys. Lett. A 344 411
[41]	Falaye B J 2012 Few-Body Syst. 53 557
[42]	Ikhdair S M, Falaye B J and Hamzavi M 2013 Chin. Phys. Lett. 30 020305
[43]	Falaye B J 2012 Can J. Phys. 90 1259
[44]	Bayrak O, Boztosun I and Ciftci H 2007 Int. J. Quantum Chem. 107 540
[45]	Falaye B J, Oyewumi K J, Ibrahim T T, Punyasena M A and Onate C A 2013 Can. J. Phys. 91 98
[46]	Ikhdair S M and Falaye B J 2013 Phys. Scr. 87 035002
[47]	Falaye B J and Ikhdair S M 2013 Chin. Phys. B 22 060305
[48]	Champion B, Hall R L and Saad N 2008 J. Int. Mod. Phys. A 23 1405
[49]	Bayrak O and Boztosun I 2007 Int. J. Quantum Chem. 107 1040 100303-6

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Relativistic treatment of the spin-zero particles subject to the second Pöschl–Teller-like potential

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