Search
This Journal
This Journal
Anywhere
Quick Search in Journals
Enter words / phrases / DOI / ISBN / keywords / authors / etc
Access type:Only show content I have full access toOnly show Open Access
Advanced Search
0 My Cart
Sign in
Institutional Access

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Research PapersNo Access

APPROXIMATE ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE MANNING–ROSEN POTENTIAL MODEL

E&P Research Institute, Sinopec North China Company, Zhengzhou 450006, P. R. China

Search for more papers by this author

,

State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China

Search for more papers by this author

, and

State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, P. R. China

Corresponding author

Search for more papers by this author

https://doi.org/10.1142/S0217732309030345Cited by:33 (Source: Crossref)

Abstract

By approximating the centrifugal term in terms of a new approximation scheme, we solve the Schrödinger equation with the arbitrary angular momentum for the Manning–Rosen potential. The bound state energy eigenvalues and the unnormalized radial wave functions have been approximately obtained by using the supersymmetric shape invariance approach and the function analysis method. The numerical experiments show that our approximate analytical results are in better agreement with those obtained by using the numerical integration procedure than the analytical results obtained by using the conventional approximation scheme to deal with the centrifugal term.

Keywords:

PACS: 03.65.Ge, 34.20.Cf

References

R. L. Greene and C. Aldrich, Phys. Rev. A 14, 2363 (1976), DOI: 10.1103/PhysRevA.14.2363. Crossref, Web of Science, ADS, Google Scholar
W. C. Qiang and S. H. Dong, Phys. Lett. A 368, 13 (2007), DOI: 10.1016/j.physleta.2007.03.057. Crossref, Web of Science, ADS, Google Scholar
G. F. Wei, C. Y. Long and S. H. Dong, Phys. Lett. A 372, 2592 (2008), DOI: 10.1016/j.physleta.2007.12.042. Crossref, Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever , arXiv:0801.3518 . Google Scholar
O. Bayrak, G. Kocak and I. Boztosun, J. Phys. A: Math. Theor. 39, 11521 (2006). Crossref, Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever, J. Math. Chem. 42, 461 (2007), DOI: 10.1007/s10910-006-9115-8. Crossref, Web of Science, Google Scholar
C. Y. Chen, D. S. Sun and F. L. Lu, Phys. Lett. A 370, 219 (2007), DOI: 10.1016/j.physleta.2007.05.079. Crossref, Web of Science, ADS, Google Scholar
W. C. Qiang, R. S. Zhou and Y. Gao, Phys. Lett. A 371, 201 (2007), DOI: 10.1016/j.physleta.2007.04.109. Crossref, Web of Science, ADS, Google Scholar
N. Saad, Phys. Scr. 76, 623 (2007), DOI: 10.1088/0031-8949/76/6/005. Crossref, Web of Science, ADS, Google Scholar
S. Haouat and L. Chetouani, J. Phys. A: Math. Theor. 40, 10541 (2007), DOI: 10.1088/1751-8113/40/34/011. Crossref, Web of Science, Google Scholar
S. Haouat and L. Chetouani, Phys. Scr. 77, 025005 (2008), DOI: 10.1088/0031-8949/77/02/025005. Crossref, Web of Science, Google Scholar
S. S. Dong, J. García-Ravelo and S. H. Dong, Phys. Scr. 76, 303 (2007), DOI: 10.1088/0031-8949/76/4/019. Web of Science, Google Scholar
S. S. Donget al., Mod. Phys. Lett. B 22, 483 (2008), DOI: 10.1142/S0217984908015024. Link, Web of Science, ADS, Google Scholar
S. H. Donget al., J. Phys. A: Math. Theor. 40, 10535 (2007), DOI: 10.1088/1751-8113/40/34/010. Crossref, Web of Science, Google Scholar
G. F. Weiet al., Phys. Scr. 77, 035001 (2008), DOI: 10.1088/0031-8949/77/03/035001. Crossref, Web of Science, Google Scholar
C. Y. Chen, D. S. Sun and F. L. Lu, J. Phys. A: Math. Theor. 41, 035302 (2008), DOI: 10.1088/1751-8113/41/3/035302. Crossref, Web of Science, Google Scholar
L. H. Zhang, X. P. Li and C. S. Jia, Phys. Lett. A 372, 2201 (2008), DOI: 10.1016/j.physleta.2007.11.022. Crossref, Web of Science, ADS, Google Scholar
A. Soylu, O. Bayrak and I. Boztosun, J. Phys. A: Math. Theor. 41, 065308 (2008), DOI: 10.1088/1751-8113/41/6/065308. Crossref, Web of Science, Google Scholar
Y. Xu, S. He and C. S. Jia, J. Phys. A: Math. Theor. 41, 255302 (2008), DOI: 10.1088/1751-8113/41/25/255302. Crossref, Web of Science, ADS, Google Scholar
W. C. Qiang and S. H. Dong, Phys. Lett. A 372, 4789 (2008), DOI: 10.1016/j.physleta.2008.05.020. Crossref, Web of Science, ADS, Google Scholar
S. H. Dong, W. C. Qiang and J. García-Ravelo, Int. J. Mod. Phys. A 23, 1537 (2008), DOI: 10.1142/S0217751X0803944X. Link, Web of Science, ADS, Google Scholar
C. S. Jia, J. Y. Liu and P. Q. Wang, Phys. Lett. A 372, 4779 (2008), DOI: 10.1016/j.physleta.2008.05.030. Crossref, Web of Science, ADS, Google Scholar
M. F. Manning and N. Rosen, Phys. Rev. 44, 953 (1933). Google Scholar
N. Rosen and P. M. Morse, Phys. Rev. 42, 210 (1932), DOI: 10.1103/PhysRev.42.210. Crossref, ADS, Google Scholar
A. Diaf, A. Chouchaoui and R. J. Lombard, Ann. Phys. 317, 354 (2005). Crossref, Web of Science, ADS, Google Scholar
S. H. Dong and J. Garcéa-Ravelo, Phys. Scr. 75, 307 (2007), DOI: 10.1088/0031-8949/75/3/013. Crossref, Web of Science, ADS, Google Scholar
W. Lucha and F. F. Schöberl, Int. J. Mod. Phys. C 10, 607 (1999), DOI: 10.1142/S0129183199000450. Link, Web of Science, ADS, Google Scholar
F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 251, 267 (1995), DOI: 10.1016/0370-1573(94)00080-M. Crossref, ADS, Google Scholar
L. E. Gendenshtein, Sov. Phys.-JETP Lett. 38, 356 (1983). Web of Science, ADS, Google Scholar
J. W. Dabrowska, A. Khare and U. P. Sukhatme, J. Phys. A: Math. Gen. 21, L195 (1988), DOI: 10.1088/0305-4470/21/4/002. Crossref, Google Scholar
C. S. Jiaet al., J. Phys. A: Math. Gen. 31, 4763 (1998), DOI: 10.1088/0305-4470/31/20/013. Crossref, ADS, Google Scholar

Journal cover image

Vol. 24, No. 23

Metrics

Downloaded 50 times

History

Received 4 November 2008

Keywords