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

[11]

Cooper F., 2001, Supersymmetry in Quantum Mechanics

[12] SUPERSYMMETRY, VARIATIONAL METHOD AND HULTHEN POTENTIAL [J].

DRIGO, E ;

RICOTTA, RM .

MODERN PHYSICS LETTERS A, 1995, 10 (22) :1613-1618

[13] A NEW ANALYTIC APPROXIMATION METHOD FOR THE NON-ZERO ANGULAR-MOMENTUM STATES OF THE HULTHEN POTENTIAL [J].

DUTT, R ;

MUKHERJI, U .

PHYSICS LETTERS A, 1982, 90 (08) :395-398

[14]

Eckart C., 1930, PHYS REV A, V41, P4682

[15]

FEIZI H, 2012, ADV STUD THEOR PHYS, V6, P477

[16]

Flugge S., 1994, PRACTICAL QUANTUM ME, VI

[17]

GENDENSHTEIN LE, 1983, JETP LETT+, V38, P356

[18]

Gitman V., 2023, Private communication

[19] Hamiltonian hierarchy and the Hulthen potential [J].

Gönül, B ;

Özer, O ;

Cançelik, Y ;

Koçak, M .

PHYSICS LETTERS A, 2000, 275 (04) :238-243

[20] VARIATIONAL WAVE-FUNCTIONS FOR A SCREENED COULOMB POTENTIAL [J].

GREENE, RL ;

ALDRICH, C .

PHYSICAL REVIEW A, 1976, 14 (06) :2363-2366

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