Approximate analytical solutions of Klein-Gordon equation with Hulthen potentials for nonzero angular momentum

被引:64
作者
Chen, Chang-Yuan [1 ]
Sun, Dong-Sheng [1 ]
Lu, Fa-Lin [1 ]
机构
[1] Yancheng Teachers Coll, Dept Phys, Yancheng 224002, Peoples R China
关键词
Hulthen potential; Klein-Gordon equation; bound states; approximate analytical solution;
D O I
10.1016/j.physleta.2007.05.079
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the exponential function transformation approach along with an approximation for the centrifugal potential, the radial Klein-Gordon equation with the vector and scalar Hulthen potential is transformed to a hypergeometric differential equation. The approximate analytical solutions of bound states are attained for different l. The analytical energy equation and the unnormalized radial wave functions expressed in terms of hypergeometric polynomials are given. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:219 / 221
页数:3
相关论文
共 30 条
[1]   Exact supersymmetric solution of Schrodinger equation for central confining potentials by using the Nikiforov-Uvarov method [J].
Aktas, M ;
Sever, R .
JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 2004, 710 (1-3) :223-228
[2]   Solution of the relativistic Dirac-Hulthen problem [J].
Alhaidari, AD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (22) :5805-5813
[3]   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
[4]   Distortion of H-2 potentials by embedding into an electron gas at molecule scattering by a metal surface [J].
Bitensky, IS ;
Ferleger, VK ;
Wojciechowski, IA .
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 1997, 125 (1-4) :201-206
[5]   Path integral for Klein-Gordon particle in vector plus scalar Hulthen-type potentials [J].
Chetouani, L ;
Guechi, L ;
Lecheheb, A ;
Hammann, TF ;
Messouber, A .
PHYSICA A, 1996, 234 (1-2) :529-544
[6]   BOUND-STATES OF THE KLEIN GORDON EQUATION WITH VECTOR AND SCALAR HULTHEN-TYPE POTENTIALS [J].
DOMINGUEZADAME, F .
PHYSICS LETTERS A, 1989, 136 (4-5) :175-177
[7]   SUPERSYMMETRY, VARIATIONAL METHOD AND HULTHEN POTENTIAL [J].
DRIGO, E ;
RICOTTA, RM .
MODERN PHYSICS LETTERS A, 1995, 10 (22) :1613-1618
[8]   DUALITY FOR HEAVY-QUARK SYSTEMS [J].
DURAND, B ;
DURAND, L .
PHYSICAL REVIEW D, 1981, 23 (05) :1092-1102
[9]   AN IMPROVED CALCULATION FOR SCREENED COULOMB POTENTIALS IN RAYLEIGH-SCHRODINGER PERTURBATION-THEORY [J].
DUTT, R ;
CHOWDHURY, K ;
VARSHNI, YP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (09) :1379-1388
[10]  
Flugge S., 1994, PRACTICAL QUANTUM ME, V1