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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[12]	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.
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[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]	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.

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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.