Bound state solutions of the Dirac equation with the Makarov potentials

Zhang Min-Cang; Wang Zhen-Bang

doi:10.7498/aps.55.6229

Abstract
The bound state solutions of the Dirac equation with equal scalar and vector Makarov potentials are obtained. It is shown that angular component of the Dirac equation can be solved with the gactorization method， which enables us to find immediately the eigenvalues and at the same time the manipulation process for the normalized eigenfunctions. The radial bound state solutions are expressed in terms of the confluent hypergeometric functions and the energy equation is derived from the boundary condition satisfied by the radial wavefunctions.

Keywords:
Makarov potential /

Dirac equation /

bound state /

factorization method
Authors and contacts
Zhang Min-Cang,

Wang Zhen-Bang

1.
陕西师范大学物理学与信息技术学院, 西安 710062
References

Cited By

[1]	Lu Fa-Lin, Chen Chang-Yuan, You Yuan. Approximate analytical solutions of bound states for the double ring-shaped Hulthn potential. Acta Physica Sinica, 2013, 62(20): 200301. doi: 10.7498/aps.62.200301
[2]	Zhang Min-Cang. A relativistic non-harmonic oscillator potential and pseudospin symmetry. Acta Physica Sinica, 2009, 58(1): 61-65. doi: 10.7498/aps.58.61
[3]	Zhang Min-Cang. Quesne-like ring-shaped spherical harmonic oscillator potential and pseudospin symmetry. Acta Physica Sinica, 2009, 58(2): 712-716. doi: 10.7498/aps.58.712
[4]	Wei Gao-Feng, Long Chao-Yun, Qin Shui-Jie, Zhang Xin. Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential. Acta Physica Sinica, 2008, 57(11): 6730-6735. doi: 10.7498/aps.57.6730
[5]	Zhang Min-Cang, Wang Zhen-Bang. Bound state solutions of relativistic particles in a new ring-shaped non-harmonic oscillator potential. Acta Physica Sinica, 2007, 56(7): 3688-3692. doi: 10.7498/aps.56.3688
[6]	Chen Chang-Yuan, Sun Dong-Sheng, Lu Fa-Lin. The relativistic bound states of Coulomb potential plus a new ring-shaped potential. Acta Physica Sinica, 2006, 55(8): 3875-3879. doi: 10.7498/aps.55.3875
[7]	Zhang Min-Cang, Wang Zhen-Bang. Bound states of relativistic particles in the second P?schl-Teller potentials. Acta Physica Sinica, 2006, 55(2): 525-528. doi: 10.7498/aps.55.525
[8]	Zhang Min-Cang, Wang Zhen-Bang. Bound states of the Klein-Gordon equation and Dirac equation with the Manning-Rosen scalar and vector potentials. Acta Physica Sinica, 2006, 55(2): 521-524. doi: 10.7498/aps.55.521
[9]	Li Ning, Ju Guo-Xing, Ren Zhong-Zhou. Bound states for a kind of relativistic non-harmonic oscillator systems. Acta Physica Sinica, 2005, 54(6): 2520-2523. doi: 10.7498/aps.54.2520
[10]	Chen Zi-Dong, Chen Gang. Bound states solutions of the Klein-Gordon equation with Hartmann potential and recursion relations. Acta Physica Sinica, 2005, 54(6): 2524-2527. doi: 10.7498/aps.54.2524
[11]	Lu Fa-Lin, Chen Chang-Yuan. Bound states of Klein-Gordon equation for ring-shaped non-spherical harmonic oscillator potentials. Acta Physica Sinica, 2004, 53(6): 1652-1656. doi: 10.7498/aps.53.1652
[12]	Chen Gang. Bound states of relativistic particles in Rosen-Morse potential. Acta Physica Sinica, 2004, 53(3): 684-687. doi: 10.7498/aps.53.684
[13]	Chen Gang. Bound states for Dirac equation with Wood-Saxon potential. Acta Physica Sinica, 2004, 53(3): 680-683. doi: 10.7498/aps.53.680
[14]	Chen Gang, Zhao Ding-Feng. Bound states of Klein-Gordon equation for scalar and vector linear potentials. Acta Physica Sinica, 2003, 52(12): 2954-2956. doi: 10.7498/aps.52.2954
[15]	Chen Gang, Lou Zhi-Mei. Bound states of relativistic particles in a potential with four parameters for d iatomic molecules. Acta Physica Sinica, 2003, 52(5): 1075-1078. doi: 10.7498/aps.52.1075
[16]	Chen Gang, Lou Zhi-Mei. Bound states of relativistic particles in reflectionless-type potential. Acta Physica Sinica, 2003, 52(5): 1071-1074. doi: 10.7498/aps.52.1071
[17]	Chen Chang-Yuan, Liu Cheng-Lin, Lu Fa-Lin, Sun Dong-Sheng. Bound states of the Klein-Gordon equation with n-dimensional scalar and vect or hydrogen atom-type potentials. Acta Physica Sinica, 2003, 52(7): 1579-1584. doi: 10.7498/aps.52.1579
[18]	Guo Jian-You. . Acta Physica Sinica, 2002, 51(7): 1453-1457. doi: 10.7498/aps.51.1453
[19]	Ran Yang-Qiang, Xue Li-Hui, Hu Si-Zhu. . Acta Physica Sinica, 2002, 51(11): 2435-2439. doi: 10.7498/aps.51.2435
[20]	CHEN GANG. BOUND STATES OF KLEIN-GORDON EQUATION AND DIRAC EQUATION FOR SCALAR AND VECTOR P?SCHL-TELLER-TYPE POTENTIALS. Acta Physica Sinica, 2001, 50(9): 1651-1653. doi: 10.7498/aps.50.1651

Catalog

Vol. 55, Issue 12 - 2006-06-20

Metrics

Abstract views: 8762
PDF Downloads: 1112
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Bound state solutions of the Dirac equation with the Makarov potentials

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Bound state solutions of the Dirac equation with the Makarov potentials

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About