Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Poschl-Teller like potential

被引:75
作者
Qiang, Wen-Chao [2 ]
Dong, Shi-Hai [1 ]
机构
[1] Inst Politecn Nacl, Dept Fis, Escuela Super Fis & Matemat, Mexico City 07738, DF, Mexico
[2] Xian Univ Architecture & Technol, Fac Sci, Xian 710055, Peoples R China
基金
美国国家科学基金会;
关键词
Klein-Gordon equation; second Poschl-Teller like potential; centrifugal term;
D O I
10.1016/j.physleta.2008.05.020
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present analytical solutions of the Klein-Gordon equation for the second Poschl-Teller like potential within the framework of an approximation to the centrifugal potential for any I state. The explicit expressions of bound state spectra and normalized eigenfunctions are obtained. We also numerically solved the Klein-Gordon equation without any approximation to centrifugal term for the same potential and compared numerical energy levels with approximately analytical results. It is found that the results are in good agreement with those obtained by other method for short-range potential. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:4789 / 4792
页数:4
相关论文
共 21 条
[1]  
Bagrov V.G., 1990, Exact Solution of Relativistic Wave Equations
[2]   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
[3]   Approximate analytical solutions of Klein-Gordon equation with Hulthen potentials for nonzero angular momentum [J].
Chen, Chang-Yuan ;
Sun, Dong-Sheng ;
Lu, Fa-Lin .
PHYSICS LETTERS A, 2007, 370 (3-4) :219-221
[4]   Exact bound state solutions of the s-wave Klein-Gordon equation with the generalized Hulthen potential [J].
Chen, G ;
Chen, ZD ;
Lou, ZM .
PHYSICS LETTERS A, 2004, 331 (06) :374-377
[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]   Analytical approximations to the l-wave solutions of the Schrodinger equation with the Eckart potential [J].
Dong, Shi-Hai ;
Qiang, Wen-Chao ;
Sun, Guo-Hua ;
Bezerra, V. B. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (34) :10535-10540
[8]   Exact solutions of the s-wave Schrodinger equation with Manning-Rosen potential [J].
Dong, Shi-Hai ;
Garcia-Ravelo, J. .
PHYSICA SCRIPTA, 2007, 75 (03) :307-309
[9]   Analytical approximations to the l-wave solutions of the Schrodinger equation with an exponential-type potential [J].
Dong, Shishan ;
Garcia-Ravelo, J. ;
Dong, Shi-Hai .
PHYSICA SCRIPTA, 2007, 76 (04) :393-396
[10]   Exact solutions of the Schrodinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential [J].
Egrifes, H ;
Demirhan, D ;
Büyükkiliç, F .
PHYSICS LETTERS A, 2000, 275 (04) :229-237