Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

ZHANG Ai-Ping; QIANG Wen-Chao

Chinese Physics C> 2007, Vol. 31> Issue(11) : 1027-1031

Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

ZHANG Ai-Ping ^, ,
QIANG Wen-Chao

Science College, Xi'an University of Architecture and Technology, Xi'an 710055, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, the relativistic Rosen-Morse II potential is investigated by solving the Klein-Gordon and the Dirac equations with equal attractive scalar s(r) and repulsive vector v(r) potentials. The exact energy equations of the bound state are obtained by the method of supersymmetric and shape invariance. Finally, a kind of special potential about Rosen-MorseⅡ potential is discussed.

References

[1]

. GUO J Y, MENG J, XU F X. Chin. Phys. Lett., 2003,20(5): 602-6042. QIANG W C. Chin. Phys., 2002, 11(8): 757-7593. QIANG W C. Chin. Phys., 2003, 12(2): 136-1394. QIANG W C. Chin. Phys., 2004, 13(5): 571-5745. CHEN G. Acta Physica Sinica, 2004, 53(3): 680-683(in Chinese)(陈刚. 物理学报, 2004, 53(3): 680-683)6. Compean C B, Kirchbach M. Quant-ph/0603232, 20057. Hurska M, Keung W Y, Sukhatme U. Phys. Rev., 1997,A55(5): 3345-33508. Morse, Feshbach. Methods of Theoretical Physics, 1953.1651-16559. WU T Y, Pauchy Hwang W Y. Relativistic Quantum Me-chanics and Quantum Fields. Singapore: World Scienti c,1991. 1-2210. Dutt R, Khare A, Sukhatme U. Am. Jour. Phys., 1988, 56:167-17011. Cooper F, Khare A, Sukhatme U. Physics Reports, 1995,251: 267-27212. ZENG J Y. Quantum Mechanics. Vol II. Beijing: SciencePress, 1993. 373-374(in Chinese)(曾谨言. 量子力学. 卷Ⅱ. 北京: 科学出版社, 1993. 373-374)13. MENG J, Tokid H, ZHOU S G et al. Progress in Particleand Nuclear Physics, 2006, 57: 470-563

[1]	Farrin Payandeh , Toradj Mohammad , Mohsen Fathi , Zahra Gh . A Krein quantization approach to Klein paradox. Chinese Physics C, 2013, 37(11): 113103. doi: 10.1088/1674-1137/37/11/113103
[2]	WANG Jian-Hua , LI Kang , Dulat Sayipjamal , . Klein-Gordon oscillators in noncommutative phase space. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007
[3]	ZHANG Yin-Jie , SHEN Peng-Nian , ZOU Bing-Song . Study of KK strong interaction bound state and K⁺K^－ atomic state. Chinese Physics C, 2006, 30(3): 212-216.
[4]	YAN Mu-Lin . X(1835) as Proton-Antiproton Bound State in Skyrme Model. Chinese Physics C, 2006, 30(11): 1141-1150.
[5]	LI Kang , WANG Jian-Hua . Green Function Solution to the Doublet Potential Equations of the Moving Dyons. Chinese Physics C, 2005, 29(8): 731-735.
[6]	YAN Jun , TAO Bi-You . A Electric Sine-Gordon Soliton Solution in Two-Dimensional Dilaton Gravity Model. Chinese Physics C, 2003, 27(9): 767-769.
[7]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Multi-Parameter Solution to the Reflection Equation of Z_n Belavin Model. Chinese Physics C, 1999, 23(5): 425-435.
[8]	Wu Jingmin , Sun Yue . Use of MORSE Program to Calculate Skyshine. Chinese Physics C, 1995, 19(4): 377-384.
[9]	Bian Jianguo , Huang Tao . Pseudo-Scalar Meson Solutions of the Equal-Time Equation IN QCD. Chinese Physics C, 1994, 18(2): 127-136.
[10]	ZHANG Shiwei , WANG Renchuan . The Quantum Bound States Around the JBD Straight Cosmic String. Chinese Physics C, 1993, 17(11): 1016-1020.
[11]	WANG Shan , LIU Yi-Ming , JIANG Yu-Zhen , CHEN Xiao-Fan . AZIMUTHAL CORRELATION FUNCTION AND THE NUCLEAR EQUATION OF STATE. Chinese Physics C, 1990, 14(10): 907-911.
[12]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.
[13]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[14]	LI Xin-Zhou , WANG Ke-Lin , ZHANG Jian-Zu . A KIND OF JACKIW-REBBI TYPE FERMION-MONOPOLE ZERO-ENERGY BOUND STATES IN AN SO(10) MODEL. Chinese Physics C, 1985, 9(6): 653-659.
[15]	YAN Jun-Hu . EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
[16]	HUANG Nian-Ning . ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[17]	ZHAO Guang-Da . BOUND STATE WAVEFUNCTIONS AND ANOMALOUS MAGNETIC MOMENTS OF LEPTONS. Chinese Physics C, 1983, 7(3): 323-332.
[18]	JU CHANG-SEN . THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY. Chinese Physics C, 1982, 6(1): 25-29.
[19]	WEI KAI-YU . EQUATION OF BEAM ENVELOP FUNCTIONS AND THEIR APPROXIMATE SOLUTIONS. Chinese Physics C, 1981, 5(6): 687-693.
[20]	Liu Bo , LI Qing-run , Zhao En-guang . THE BOUND STATES OF THE ISOBAR △ (1236). Chinese Physics C, 1980, 4(1): 8-11.

Access

Get Citation

ZHANG Ai-Ping and QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential[J]. Chinese Physics C, 2007, 31(11): 1027-1031.

ZHANG Ai-Ping and QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential[J]. Chinese Physics C, 2007, 31(11): 1027-1031. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-12-05
Revised: 2007-01-23

Article Metric

Article Views(3660)
PDF Downloads(660)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential

ZHANG Ai-Ping ^,
QIANG Wen-Chao

Corresponding author: ZHANG Ai-Ping,

Science College, Xi'an University of Architecture and Technology, Xi'an 710055, China

Received Date: 2006-12-05
Accepted Date: 2007-01-23
Available Online: 2007-11-05

Abstract: In this paper, the relativistic Rosen-Morse II potential is investigated by solving the Klein-Gordon and the Dirac equations with equal attractive scalar s(r) and repulsive vector v(r) potentials. The exact energy equations of the bound state are obtained by the method of supersymmetric and shape invariance. Finally, a kind of special potential about Rosen-MorseⅡ potential is discussed.