Cornell势下薛定谔方程本征值问题的代数解法

Algebraic Method to the Eigenvalue Problem for the Schrodinger Equation with Cornell Potential

提出了求解球对称势作用下薛定谔方程的无穷级数代数解法;应用所提出的方法求出了库仑势和线性势的能量本征值;对Cornell势还计算了殊粲夸克偶偶素(J/Ψ)家族和底夸克偶素(γ)的质量谱,其理论结果与实验数据符合较好.

It is a method of infinite series with algebra to solve the eigenvalue problem for the Schrodinger equation under symmetry potential energy of sphere. To use this method solved the power eigenvalue problem of Coulombs potential energy and linear potential energy. The quality spectra of J/w and r families are calculated for the Cornell potent, the obtained results are in good accord with the experimental data.