Analytic Solution of Ground State for Coulomb Plus Linear Potential

  • 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.
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  • [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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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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Analytic Solution of Ground State for Coulomb Plus Linear Potential

    Corresponding author: ZHAO Wei-Qin,
  • Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing 100039, China

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.

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