Yukawa位基态波函数的Green函数叠代求解  

Green Function Iterative Solution of Ground State Wave Function for Yukawa Potential

作　　者：张昭[1] 赵维勤[1] 

机构地区：[1]中国科学院高能物理研究所,北京100039

出　　处：《高能物理与核物理》2003年第3期215-222,共8页High Energy Physics and Nuclear Physics

基　　金：国家自然科学基金 ( 199470 0 1)~~

摘　　要：应用最近发展的沿一条确定的轨迹求解N维基态量子波函数的方法 ,首先由直接级数展开法得到Hulth啨ｎ位的严格基态解和Ｙｕｋａｗａ位的近似基态解 ;并进一步运用Green函数叠代法及变分The newly developed single trajectory quadrature method is applied to solve central potentials. First, based on the series expansion method an exact analytic solution of the ground state for Hulthen potential and an approximate solution for Yukawa potential are obtained respectively. Second, the newly developed iterative method based on Green function defined by quadratures along the single trajectory is applied to solve Yukawa potential using the Coulomb solution and Hulthen solution as the trial functions respectively. The results show that a more proper choice of the trial function will give a better convergence. To further improve the convergence the iterative method is combined with the variational method to solve the ground state wave function for Yukawa potential, using variational solutions of the Coulomb and Hulthen potentials as the trial functions. The results give much better convergence. Finally, the obtained critical screen coefficient is applied to discuss the dissociate temperature of J/ψ in high temperature QGP.

关 键 词：格林函数 叠代解 变分法 Yukawa位 N维基态量子波函数 基态近似解 薛定谔方程 

分 类 号：O413.1[理学—理论物理] O411.1[理学—物理]