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ARBITRARY l-WAVE SOLUTIONS OF THE SCHRÖDINGER EQUATION FOR THE SCREEN COULOMB POTENTIAL

Computation Center, Dalian University, Dalian 116622, P. R. China

Centro Universitario Valle de Chalco, Universidad Autónoma del Estado de México, Valle de Chalco Solidaridad, Estado de México 56615, Mexico

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SHI-HAI DONG

Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, Mexico D. F. 07738, Mexico

Corresponding author.

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https://doi.org/10.1142/S0218301313500365Cited by:21 (Source: Crossref)

Abstract

Using improved approximate schemes for centrifugal term and the singular factor 1/r appearing in potential itself, we solve the Schrödinger equation with the screen Coulomb potential for arbitrary angular momentum state l. The bound state energy levels are obtained. A closed form of normalization constant of the wave functions is also found. The numerical results show that our results are in good agreement with those obtained by other methods. The key issue is how to treat two singular points in this quantum system.

Keywords:

PACS: 03.65.Ge, 34.20.Cf, 21.10.Sc, 21.45.Bc

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References

L. I. Schiff , Quantum Mechanics , 3rd edn. ( McGraw-Hill , New York , 1955 ) . Google Scholar
L. D. Landau and E. M. Lifshitz , Quantum Mechanics, Non-Relativistic Theory , 3rd edn. ( Pergamon , 1977 ) . Google Scholar
S. H. Dong , Factorization Method in Quantum Mechanics ( Springer , Nethelands , 2007 ) . Crossref, Google Scholar
O. Bayrak , G. Kocak and I. Boztosun , J. Phys. A: Math. Gen. 39 , 11521 ( 2006 ) . Crossref, Web of Science, ADS, Google Scholar
B. Gönül et al. , Phys. Lett. A 275 , 238 ( 2000 ) . Crossref, Web of Science, ADS, Google Scholar
H. Eğrifes , D. Demirhan and F. Büyükkiliç , Phys. Lett. A 275 , 229 ( 2000 ) . Crossref, Web of Science, ADS, Google Scholar
C. S. Jia et al. , J. Phys. A: Math. Gen. 37 , 11275 ( 2004 ) . Crossref, ADS, Google Scholar
C. S. Jia et al. , Phys. Lett. A 311 , 115 ( 2003 ) . Crossref, Web of Science, ADS, Google Scholar
C. S. Jia , X. L. Zeng and L. T. Sun , Phys. Lett. A 294 , 185 ( 2002 ) . Crossref, Web of Science, ADS, Google Scholar
S. H. Dong and J. García-Ravelo , Phys. Scripta 75 , 307 ( 2007 ) . Crossref, Web of Science, ADS, Google Scholar
X. Zou , L. Z. Yi and C. S. Jia , Phys. Lett. A 346 , 54 ( 2005 ) . Crossref, Web of Science, ADS, Google Scholar
C. S. Jia , P. Guo and X. L. Peng , J. Phys. A: Math. Gen. 39 , 7737 ( 2006 ) . Crossref, ADS, Google Scholar
R. L. Greene and C. Aldrich , Phys. Rev. A 14 , 2363 ( 1976 ) . Crossref, Web of Science, ADS, Google Scholar
W. C. Qiang and S. H. Dong , Phys. Lett. A 368 , 13 ( 2007 ) . Crossref, Web of Science, ADS, Google Scholar
S. H. Dong et al. , J. Phys. A: Math. Theor. 40 , 10535 ( 2007 ) . Crossref, Web of Science, ADS, Google Scholar
S. S. Dong , J. García-Ravelo and S. H. Dong , Phys. Scripta 76 , 393 ( 2007 ) . Crossref, Web of Science, ADS, Google Scholar
W. C. Qiang and S. H. Dong , Phys. Lett. A 372 , 4789 ( 2008 ) . Crossref, Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever , Ann. Phys. 18 , 747 ( 2009 ) . Crossref, Web of Science, Google Scholar
L. H. Zhang , X. P. Li and C. S. Jia , Int. J. Quantum. Chem. 111 , 1870 ( 2011 ) . Crossref, Web of Science, Google Scholar
C. S. Jia et al. , Int. J. Mod. Phys. A 24 , 4519 ( 2009 ) . Link, Web of Science, ADS, Google Scholar
A. Arima , M. Harvey and K. Shimizu , Phys. Lett. B 30 , 517 ( 1969 ) . Crossref, Web of Science, ADS, Google Scholar
K. T. Hecht and A. Adeler , Nucl. Phys. A 137 , 129 ( 1969 ) . Crossref, Web of Science, ADS, Google Scholar
G. F. Wei and S. H. Dong , Europhys. Lett. 87 , 40004 ( 2009 ) . Crossref, ADS, Google Scholar
G. F. Wei and S. H. Dong , Eur. Phys. J. A 46 , 207 ( 2010 ) . Crossref, Web of Science, ADS, Google Scholar
H. Liang et al. , Phys. Rev. C 87 , 014334 ( 2013 ) . Crossref, Web of Science, ADS, Google Scholar
J. Meng et al. , Phys. Rev. C 58 , R628 ( 1998 ) . Crossref, Web of Science, ADS, Google Scholar
S. G. Zhou , J. Meng and P. Ring , Phys. Rev. Lett. 91 , 262501 ( 2003 ) . Crossref, Web of Science, ADS, Google Scholar
W. H. Long et al. , Phys. Rev. C 76 , 034314 ( 2007 ) . Crossref, Web of Science, ADS, Google Scholar
W. H. Long et al. , Phys. Lett. B 680 , 428 ( 2009 ) . Crossref, Web of Science, ADS, Google Scholar
J. Meng et al. , Phys. Rev. C 59 , 154 ( 1999 ) . Crossref, Web of Science, ADS, Google Scholar
T. S. Chen et al. , Chin. Phys. Lett. 20 , 358 ( 2003 ) . Crossref, Web of Science, ADS, Google Scholar
J. Y. Guo , J. Meng and F. X. Xu , Chin. Phys. Lett. 20 , 602 ( 2003 ) . Crossref, Web of Science, ADS, Google Scholar
W. H. Long et al. , Phys. Lett. B 639 , 242 ( 2006 ) . Crossref, Web of Science, ADS, Google Scholar
W. H. Long et al. , Phys. Rev. C 81 , 031302 ( 2010 ) . Crossref, Web of Science, ADS, Google Scholar
J. N. Ginocchio et al. , Phys. Rev. C 69 , 034303 ( 2004 ) . Crossref, Web of Science, ADS, Google Scholar
W. H. Long , N. Van Giai and J. Meng , Phys. Lett. B 640 , 150 ( 2006 ) . Crossref, Web of Science, ADS, Google Scholar
W. H. Long et al. , Phys. Rev. C 81 , 024308 ( 2010 ) . Crossref, Web of Science, ADS, Google Scholar
S. G. Zhou , J. Meng and P. Ring , Phys. Rev. Lett. 91 , 262501 ( 2003 ) . Crossref, Web of Science, ADS, Google Scholar
X. T. He et al. , Eur. Phys. J. A 28 , 265 ( 2006 ) . Crossref, Web of Science, ADS, Google Scholar
H. Z. Liang et al. , Eur. Phys. J. A 44 , 119 ( 2010 ) . Crossref, Web of Science, ADS, Google Scholar
H. Yukawa , Proc. Phys. Math. Soc. Jpn. 17 , 48 ( 1935 ) . Google Scholar
J. McEnnan , L. Kissel and R. H. Pratt , Phys. Rev. A 13 , 532 ( 1976 ) . Crossref, Web of Science, ADS, Google Scholar
C. H. Mehta and S. H. Patil , Phys. Rev. A 17 , 34 ( 1978 ) . Crossref, Web of Science, ADS, Google Scholar
R. Dutt and Y. P. Varshni , Z. Phys. A 313 , 143 ( 1983 ) . Crossref, ADS, Google Scholar
R. Dutt and Y. P. Varshni , Z. Phys. D 2 , 207 ( 1986 ) . Crossref, ADS, Google Scholar
C. S. Lai and M. P. Madan , Z. Phys. A 316 , 131 ( 1984 ) . Crossref, ADS, Google Scholar
T. Imbo , A. Pagnamenta and U. Sukhatme , Phys. Lett. A 105 , 183 ( 1984 ) . Crossref, Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever , Int. J. Mod. Phys. A 21 , 6465 ( 2006 ) . Link, Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever , J. Mol. Struc.: Theochem 809 , 103 ( 2007 ) . Crossref, Web of Science, Google Scholar
E. Z. Liverts et al. , Few-Body Syst. 44 , 367 ( 2008 ) . Crossref, Web of Science, ADS, Google Scholar
E. Maghsoodi , H. Hassanabadi and O. Aydodu , Phys. Scripta 86 , 015005 ( 2012 ) . Crossref, Web of Science, ADS, Google Scholar
W. C. Qiang , Y. Gao and R. S. Zhou , Phys. Lett. A 334 , 81 ( 2005 ) . Crossref, Web of Science, ADS, Google Scholar
W. Lucha and F. F. Schöberl , Int. J. Mod. Phys. C 10 , 607 ( 1999 ) . Link, Web of Science, ADS, Google Scholar