Analytical solutions of the Schrodinger equation for the Hulthen potential within SUSY quantum mechanics

被引：26

作者：

Ahmadov, H. I. ^{[1
]}

Jafarzade, Sh I. ^{[2
]}

Qocayeva, M. V. ^{[3
]}

机构：

[1] Baku State Univ, Fac Appl Math & Cybernet, Dept Equat Math Phys, AZ-1148 Baku, Azerbaijan

[2] Inst Radiat Problems, Particle Phys Res Grp, AZ-1143 Baku, Azerbaijan

[3] Azerbaijan Natl Acad Sci, Inst Phys, AZ-1143 Baku, Azerbaijan

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2015年 / 30卷 / 32期

关键词：

Nikiforov-Uvarov method; Hulthen potential; supersymmetric quantum mechanics; SCREENED COULOMB POTENTIALS; SHIFTED 1/N EXPANSION; L-STATE; HAMILTONIAN HIERARCHY; ANGULAR-MOMENTUM; ENERGIES;

D O I：

10.1142/S0217751X15501936

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The analytical solution of the modified radial Schrodinger equation for the Hulthen potential is obtained within ordinary quantum mechanics by applying the Nikiforov-Uvarov method and supersymmetric quantum mechanics by applying the shape invariance concept that was introduced by Gendenshtein method by using the improved approximation scheme to the centrifugal potential for arbitrary l states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states.

引用

页数：16

共 37 条

[1] Schrodinger Equation with Hulthen Potential Plus Ring-Shaped Potential [J].

Agboola, D. .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (06) :972-976

[2] ANALYTICAL SOLUTIONS OF THE KLEIN-FOCK-GORDON EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL [J].

Ahmadov, A. I. ;

Aydin, C. ;

Uzun, O. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (01)

[3] ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED-LIKE POTENTIAL [J].

Ahmadov, H. I. ;

Aydin, C. ;

Huseynova, N. Sh. ;

Uzun, O. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2013, 22 (10)

[4]

[Anonymous], 1965, HDB MATH FUNCTIONS F

[5] Hypergeometric-type differential equations: second kind solutions and related integrals [J].

Area, I ;

Godoy, E ;

Ronveaux, A ;

Zarzo, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 157 (01) :93-106

[6] ANY l-STATE ANALYTICAL SOLUTIONS OF THE KLEIN-GORDON EQUATION FOR THE WOODS-SAXON POTENTIAL [J].

Badalov, V. H. ;

Ahmadov, H. I. ;

Badalov, S. V. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2010, 19 (07) :1463-1475

[7] ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE WOODS-SAXON POTENTIAL FOR ARBITRARY l STATE [J].

Badalov, V. H. ;

Ahmadov, H. I. ;

Ahmadov, A. I. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2009, 18 (03) :631-641

[8]

Badalov V. H., ARXIVMATHPH11114734

[9] Any l-state solutions of the Hulthen potential by the asymptotic iteration method [J].

Bayrak, O. ;

Kocak, G. ;

Boztosun, I. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (37) :11521-11529

[10]

Cooper F., 1995, Physics Reports, V251, P267, DOI 10.1016/0370-1573(94)00080-M

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