BOUND STATES OF THE DIRAC EQUATIONS WITH HULTHéN-TYPE POTENTIALS

HU SI-ZHU; SU RU-KENG

doi:10.7498/aps.40.1201

Abstract
The exact solutions of bound states of Dirac equation with one-dimensional vector and scalar Hulthén-type potential are obtained. For three-dimensional Hulthén-type potential, the S-wave exact solutions of Dirac equations are also presented provided the scalar potential is equal to the vector potential.
Authors and contacts
HU SI-ZHU,

SU RU-KENG

1.
复旦大学物理系,上海,200433
References

Cited By

[1]	ZHANG Yunhao, HE Xiao, YING Jiahe, LIU Donglin, TAO Guangyi, DAI Yuchen, DANG Zhibo, FANG Zheyu. Characterization and control of quasi-bound states in the continuous in Si₃N₄ photonic crystals. Acta Physica Sinica, 2025, 74(18): 184204. doi: 10.7498/aps.74.20250757
[2]	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
[3]	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
[4]	Chen Chang-Yuan, Lu Fa-Lin, Sun Dong-Sheng. Analytical solution of scattering states for Hulthén potentials. Acta Physica Sinica, 2007, 56(11): 6204-6208. doi: 10.7498/aps.56.6204
[5]	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
[6]	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
[7]	Zhang Min-Cang, Wang Zhen-Bang. Bound state solutions of the Dirac equation with the Makarov potentials. Acta Physica Sinica, 2006, 55(12): 6229-6233. doi: 10.7498/aps.55.6229
[8]	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
[9]	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
[10]	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
[11]	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
[12]	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
[13]	Guo Jian-You. . Acta Physica Sinica, 2002, 51(7): 1453-1457. doi: 10.7498/aps.51.1453
[14]	Ran Yang-Qiang, Xue Li-Hui, Hu Si-Zhu. . Acta Physica Sinica, 2002, 51(11): 2435-2439. doi: 10.7498/aps.51.2435
[15]	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
[16]	HOU CHUN-FENG, LI YAN, ZHOU ZHONG-XIANG. BOUND STATES OF KLEIN-GORDON EQUATION AND DIRAC EQUATION WITH SCALAR AND VECTOR MORSE-TYPE POTENTIALS. Acta Physica Sinica, 1999, 48(11): 1999-2003. doi: 10.7498/aps.48.1999
[17]	CHEN CHANG-YUAN, HU SHI-ZHU. . Acta Physica Sinica, 1995, 44(1): 9-15. doi: 10.7498/aps.44.9
[18]	HUANG HENG-JI, YASUNARI ZEMPO. SCATTERING AND BOUND STATES DUE TO THE POTENTIAL FIELD IN A LATTICE WITH THE LONG-RANGE TOPOLOGICAL DISORDER OF A SCREW DISLOCASION.. Acta Physica Sinica, 1992, 41(5): 804-808. doi: 10.7498/aps.41.804
[19]	HU GANG, WANG SHENG-GUI. TIME-DEPENDENT PROBLEM OF FOKKER-PLANCK EQUATION OF MANY VARIABLES WITH A MULTI-STABLE POTENTIAL. Acta Physica Sinica, 1986, 35(6): 771-778. doi: 10.7498/aps.35.771
[20]	Zhang Shi-wei. THE QUASI BOUND STATES OF DIRAC FERMION IN SCHWARZSCHILD METRIC. Acta Physica Sinica, 1983, 32(6): 823-828. doi: 10.7498/aps.32.823

Catalog

Vol. 40, Issue 8 - 1991-04-20

Metrics

Abstract views: 8187
PDF Downloads: 618
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 STATES OF THE DIRAC EQUATIONS WITH HULTHéN-TYPE POTENTIALS

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

BOUND STATES OF THE DIRAC EQUATIONS WITH HULTHéN-TYPE POTENTIALS

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About