Analytic Solution of Ground State for Coulomb Plus Linear Potential

ZHAO Wei-Qin; JV Chang-Sheng

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

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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

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[8]	Li Xungui . The Ground State Energy of the Hypernucleus Λ6Li. Chinese Physics C, 1994, 18(1): 81-84.
[9]	LI Shiqing , XU Dingan , LIU Fuqing . Study of 3-α Cluster Ground State Using CHHE-MRT Method. Chinese Physics C, 1993, 17(12): 1116-1119.
[10]	WANG Bao-Lin . Analytical Calculation of the Vibrator-Rotor Transition in the Sdg Interacting Boson Model. Chinese Physics C, 1992, 16(5): 475-480.
[11]	REN Zhong-Zhou , XU Gong-Ou . Theoretical Researches on α-transfer Rates of Ground States in Medium and Heavy Nuclei. Chinese Physics C, 1991, 15(1): 87-91.
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[13]	ZHENG Bo . THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[14]	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.
[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.
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[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]	LI XIN-ZHOU , GU MING-GAO , YIN PENG-CHENG . NONLINEAR SUPERFIELDS AND QUARK CONFINEMENT. Chinese Physics C, 1979, 3(6): 716-722.
[20]	SHI YI-JIN , HE YIN . INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION. Chinese Physics C, 1979, 3(4): 418-431.

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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

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

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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.