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Analytical Solutions of the Manning-Rosen Potential In the Tridiagonal Program |
| ZHANG Min-Cang1**, AN Bo2
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1College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062
2Department of Physics and Electronic Engineering, Weinan Teachers University, Weinan 714000
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ZHANG Min-Cang, AN Bo 2010 Chin. Phys. Lett. 27 110301 |
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Abstract The Schrödinger equation with the Manning-Rosen potential is studied by working in a complete square integrable basis that carries a tridiagonal matrix representation of the wave operator. In this program, solving the Schrödinger equation is translated into finding solutions of the resulting three-term recursion relation for the expansion coefficients of the wavefunction. The discrete spectrum of the bound states is obtained by diagonalization of the recursion relation with special choice of the parameters and the wavefunctions is expressed in terms of the Jocobi polynomial.
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| Keywords:
03.65.Ge
02.30.Gp
03.65.Fd
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Received: 21 May 2010
Published: 22 October 2010
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[1] Schiff L I 1955 Quantum Mechanics 3^{\rm rd} (New York: McGraw-Hill)
[2] Flügge S 1974 Practical Quantum Mechanics (Berlin: Springer)
[3] de Souza-Dutra A 1993 Phys. Rev. A 47 R2435
Nag N, Roychoudhury R and Varshni Y P1994 Phys. Rev. A 49 5098
Dutt R, Khare A and Varshni Y P 1995 J. Phys. A: Math. Gen. 28 L107
[4] Alhaidari A D 2007 J. Phys. A: Math. Theor. 40 6305
[5] Infeld L and Hull T D 1951 Rev. Mod. Phys. 23 21
[6] Dong S H 2007 Factorization Method In Quantum Mechanics (Netherlands: Springer)
[7] Bander M and Itzykson C 1968 Rev. Mod. Phys. 38 330
Alhassid Y, Gursey F and Iachello F 1983 Phys. Rev. Lett. 50 873
[8] Cooper F, Khare A and Sukhatme U 2004 Supersymmetry in Quantum Mechanics (Singapore: World Scientific)
[9] Alhaidari A D 2005 Ann. Phys. 317 152
El Aaoud E, Bahlouli H and Alhaidari A D 2008 Int. Rev. Phys. 2 n.5
Alhaidari A D 2010 Phys. Scr. 81 025013
[10] Alhaidari A D 2005 J. Phys. A: Math. Gen. 38 3409
Alhaidari A D 2008 Ann. Phys. 323 1709
Alhaidari A D and Bahlouli H 2008 Phys. Rev. Lett. 100 110401
[11] Alhaidari A D, Bahlouli H and Abdelmonem M S 2009 Ann. Phys. 324 2561
[12] Alhaidari A D, Bahlouli H and Abdemonem M S 2008 J. Phys. A: Math. Theor. 41 032001
[13] Bahlouli H and Alhaidari A D 2010 Physica Scripta 81 025008
[14] Manning M F and Rosen N 1933 Phys. Rev. 44 953
[15] Zhang M C and Wang Z B 2006 Acta Phys. Sin. 55 525 (in Chinese)
Qiang W C and Dong S H 2007 Phys. Lett. A 368 13
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