Analytic Solution of Ground State for Coulomb Plus Linear Potential

ZHAO Wei-Qin; JV Chang-Sheng

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(4) : 299-304

Analytic Solution of Ground State for Coulomb Plus Linear Potential

ZHAO Wei-Qin ^, ,
JV Chang-Sheng

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The newly developed single trajectory quadrature method is applied to solve the ground state quantum wave function for Coulomb plus linear potential. The general analytic expressions of the energy and wave function for the ground state are given. The convergence of the solution is also discussed. The method is applied to the ground state of the heavy quarkonium system.

References

[1]	Friexlberq R, Lee T D, Zhao W Q. IL Nuovo Citrrnto, 1999, A112: 11952 Friedberg R, Lee T D, Zhao W Q. Ann. Phys., 2001, 288: 523 Wong C. Y. Introduction to High-Energy Heavy-Ion Collisions. World Scientific Pub., 1994, p344

[1]	ZHU Jian-Yu , XU Fu-Rong . Coulomb Displacement Energies and Shell Closure. Chinese Physics C, 2006, 30(S2): 84-86.
[2]	WANG Peng , WANG Shun-Jin . Analytic Exact Solution of One-Dimentional Nonautonomous Classical Harmonic Oscillator. Chinese Physics C, 2005, 29(7): 651-656.
[3]	FENG Zhao-Qing , ZHANG Feng-Shou , LI Wen-Fei , JIN Gen-Ming . Nuclear Fusion near Coulomb Barrier. Chinese Physics C, 2005, 29(1): 41-45.
[4]	GUO Wen-Jun , LIU Jian-Ye , XING Yong-Zhong . Effect of Coulomb Interaction on Isospin Fractionation Process. Chinese Physics C, 2004, 28(8): 850-853.
[5]	YANG Jian-Cheng , XIA Jia-Wen , WU Jun-Xia , XIA Guo-Xing , LIU Wei , YIN Xue-Jun . Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method. Chinese Physics C, 2004, 28(1): 82-87.
[6]	ZHANG Zhao , ZHAO Wei-Qin . Green Function Iterative Solution of Ground State Wave Function for Yukawa Potential. Chinese Physics C, 2003, 27(3): 215-222.
[7]	SONG Xiao-Hui , YANG Xin-E , WANG Ping . Solution of Time-Dependent Coulomb Potential with Linear Potential. Chinese Physics C, 2003, 27(9): 775-778.
[8]	Jie Quanlin , Wang Shunjin , Wei Lianfu . Exact Solutions of Non-autonomous Quantum Systems With Semisimple Lie Algebraic Structure. Chinese Physics C, 1998, 22(2): 111-116.
[9]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[10]	SONG Yong-Shen , CUI Jian-Ying , YANG Ji-Min , LU Gong-Ru , LIU Wen-Sheng . The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis. Chinese Physics C, 1992, 16(7): 588-595.
[11]	WANG Bao-Lin . Analytical Calculation of the Vibrator-Rotor Transition in the Sdg Interacting Boson Model. Chinese Physics C, 1992, 16(5): 475-480.
[12]	ZHENG Bo . THE EXACT GROUND STATE OF THE LATTICE SCHWINGER MODEL. Chinese Physics C, 1989, 13(8): 760-764.
[13]	DAI Guang-Xi , , , , , , , , , , , . THE SHELL EFFECT IN SEQUENTIAL FISSION INDUCED BY ²³⁸U WITH ENERGY JUST ABOVE COULOMB BARRIER. Chinese Physics C, 1985, 9(4): 454-460.
[14]	XU Bo-Wei , . VACUUM SOLUTIONS OF CONFORMALLY COVARIANT NONLINEAR COUPLED EQUATIONS. Chinese Physics C, 1984, 8(1): 34-38.
[15]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.
[16]	PENG SHOU-LI , ZHAO SHU-SONG . GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM. Chinese Physics C, 1981, 5(1): 47-54.
[17]	Xu SHU-WEI . A COMPLEMENTARY ANALYSIS OF THE EXPERIMENTAL DATA FOR REACTION ¹²C+²⁰⁹Bi AT THE INCIDENT ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER. Chinese Physics C, 1981, 5(4): 518-520.
[18]	Zheng Yu-ming , Lu Zhao-qi , Chen Yong-shou . THE FOLDING POTENTIAL OF THE DOUBLE WELL-CLUSTER SHELL MODEL. Chinese Physics C, 1980, 4(1): 109-112.
[19]	SHI YI-JIN , HE YIN . INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION. Chinese Physics C, 1979, 3(4): 418-431.
[20]	XU SHU-WEI , RAN QI-HUI , MA HONG-FAN . A SEMI-CLASSICAL ANALYSIS ON THE REACTION ¹²C+²⁰⁹Bi AT BOMBARDING ENERGIES SLIGHTLY ABOVE THE COULOMB BARRIER. Chinese Physics C, 1978, 2(6): 534-543.

Access

Get Citation

ZHAO Wei-Qin and JV Chang-Sheng. Analytic Solution of Ground State for Coulomb Plus Linear Potential[J]. Chinese Physics C, 2002, 26(4): 299-304.

ZHAO Wei-Qin and JV Chang-Sheng. Analytic Solution of Ground State for Coulomb Plus Linear Potential[J]. Chinese Physics C, 2002, 26(4): 299-304. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-11-27
Revised: 1900-01-01

Article Metric

Article Views(2803)
PDF Downloads(530)
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

Analytic Solution of Ground State for Coulomb Plus Linear Potential

ZHAO Wei-Qin ^,
JV Chang-Sheng

Corresponding author: ZHAO Wei-Qin,

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

Received Date: 2001-11-27
Accepted Date: 1900-01-01
Available Online: 2002-04-05

Abstract: The newly developed single trajectory quadrature method is applied to solve the ground state quantum wave function for Coulomb plus linear potential. The general analytic expressions of the energy and wave function for the ground state are given. The convergence of the solution is also discussed. The method is applied to the ground state of the heavy quarkonium system.