Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

doi:10.1088/1674-1056/22/2/020304

中国物理B ›› 2013, Vol. 22 ›› Issue (2): 20304-020304.doi: 10.1088/1674-1056/22/2/020304

Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

Akpan N. Ikot, Oladunjoye A. Awoga, Akaninyene D. Antia

Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria

收稿日期:2012-06-01 修回日期:2012-06-28 出版日期:2013-01-01 发布日期:2013-01-01

Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

Akpan N. Ikot, Oladunjoye A. Awoga, Akaninyene D. Antia

Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria

Received:2012-06-01 Revised:2012-06-28 Online:2013-01-01 Published:2013-01-01
Contact: Akpan N. Ikot, Oladunjoye A. Awoga, Akaninyene D. Antia E-mail:ndemikot2005@yahoo.com; ola.awoga@yahoo.com; antiacauchy@yahoo.com

摘要/Abstract

摘要： We study the d-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of Jacobi polynomial. We also discuss two special cases of this potential comprised of the Hulthen potential and the Rosen-Morse potential in three dimensions. Numerical results are also computed for the energy spectrum and the potentials.

关键词: parametric Nikiforov-Uvarov method, new approximation scheme, Eckart plus Hylleraas potential

Abstract: We study the d-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of Jacobi polynomial. We also discuss two special cases of this potential comprised of the Hulthen potential and the Rosen-Morse potential in three dimensions. Numerical results are also computed for the energy spectrum and the potentials.

Key words: parametric Nikiforov-Uvarov method, new approximation scheme, Eckart plus Hylleraas potential

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.65.-w (Quantum mechanics) 03.65.Ca (Formalism)

Akpan N. Ikot, Oladunjoye A. Awoga, Akaninyene D. Antia. Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential[J]. 中国物理B, 2013, 22(2): 20304-020304.

参考文献 43

[1]	Gomul O and Kocak M 2001 arxiv: Quant-Ph/0106144
[2]	Oyewumi K J, Akinpelu F O and Agboola A.D 2008 Int. J. Theor. Phys. 47 1039
[3]	Ikot A N and Akpabio L E 2010 Appl. Phys. Res. 2 202
[4]	Ikot A N, Akpabio L E and Umoren E B 2011 J. Sci. Res. 3 25
[5]	Hassanabadi H, Zurrinkamar S and Rahimov H 2011 Commun. Theor. Phys. 56 423
[6]	Greene R L and Aldrich C 1976 Phys. Rev. A 14 2363
[7]	Ikot A N 2011 Afr. Phys. Rev. 6 221
[8]	Zhang A P, Qiang W C and Ling Y W 2006 Chin. Phys. Lett. 26 100302
[9]	Wei G F, Long C Y, Duan X Y and Dong S H 2008 Phys. Scr. 77 035001
[10]	Qiang W C and Dong S H 2009 Phys. Scr. 79 045004
[11]	Bayrak O, Kocak G and Boztosun I 2006 J. Phys A: Math. Gen. 39 11521
[12]	Dong S H and Garcia-Ravelo J 2007 Phys. Scr. 75 307
[13]	Jia C S, Guo P and Peng X L 2006 J. Phys. A: Math. Gen. 39 7737
[14]	Taskin F and Kocak G 2010 Chin. Phys. B 19 090314
[15]	Ikot A N, Akpabio L E and Obu J A 2011 J. Vect. Relat. 6 1
[16]	Ikot A N, Awoga O A, Akpabio L E and Antia A D 2011 Elixir. Vib. Spec. 33 2303
[17]	Ikot A N, Antia A D, Akpabio L E and Obu J A 2011 J. Vect. Relat. 6 65
[18]	Yasuk F, Durwins A and Boztsun I 2006 J. Math. Phys. 47 083202
[19]	Falaye B J and Oyewumi K J 2011 Afri. Phys. Rev. 6 0025
[20]	Ikhadair S M and Sever R 2007 J. Math. Chem. 42 461
[21]	Ikhadair S M and Sever R 2007 Int. J. Theor. Phys. 46 1643
[22]	Ikhadair S M 2008 Chin. J. Phys. 46 291
[23]	Ikhadair S M and Sever R 2008 Cent. Eur. J. Phys. 6 685
[24]	Varshni Y P 1957 Rev. Mod. Phys. 29 664
[25]	Hylleraas E A 1935 J. Chem. Phys. 3 595
[26]	Cardose J L and Alvarez-Nodarse R 2003 J. Phys. A: Math. Gen. 36 2055
[27]	Dong S H and Sun G H 2003 Phys. Lett. A 314 261
[28]	Dong S H, Chen C Y and Cassou M L 2005 J. Phys. B 38 2211
[29]	Oyewumi K J and Ogunsola A W 2004 J. Pure Appl. Sci. 10 343
[30]	Paz G 2011 Eur. J. Phys. 22 337
[31]	Dong S H, Sun G H and Popov D 2003 J. Math. Phys. 44 4467
[32]	Ikhadair S M and Sever R 2008 Mol. Struc: THEOCHEM 855 13
[33]	Dong S H and Ma Z Q 2002 Phys. Rev. A 65 042717
[34]	Nikiforov A F and Uvarov V B 1998 Special Functions of Mathematical Physics (Basel: Birkhauser)
[35]	Tezcan C and Sever R 2009 Int. J. Theor. Phys. 48 337
[36]	Arda A, Sever R and Tezcan C 2010 Chin. J. Phys. 48 27
[37]	Hassanabadi H, Zarrinkamar S and Rajabi A A 2011 Commun. Theor. Phys. 55 541
[38]	Dong S H, Qiang W C, Sun G H and Bezerra V B 2007 J. Phys. A: Math. Theor. 40 10535
[39]	Ikhadair S M 2009 Eur. Phys. J. A 39 307
[40]	Debnath S and Biswas B 2012 EJTP 26 191
[41]	Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (New York: Dover)
[42]	Polyanin A D and Manzhirov A V 1998 Handbook of Integral Equations (Boca Raton: CRC Press)
[43]	Gradshteyn I S and Rhyzhik I M 2007 Table of Integrals, Series and Product (Burlington: Elsevier)

Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

Bound state solutions of d-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

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