球形对称势的能谱计算

Energy eigenstates calculation of spherically symmetric potentials

球形对称势的能谱计算 ,在物理学中有着极为重要的意义 ,对一般的球形对称势 ,扩展了移动 1/K展开解法 ,对任意数量的n和l,准确地给出了截断到 1/K3项的三级微扰论的结果 ;并以计算了Morse势、ScreenedCoulomb势的S态能谱。结果表明 ,对于势变化趋势的缓慢情形 ,这种近似求解结果可靠 ,收敛良好。

It is important to calculate energy eigenstates for spherically symmetric potentials, It gives an expansion to general spherical symmetric potentials by using 3-order perturbation theory for arbitrary n and l , being 1/ 3 , the energy eigenstates of Morse potential and screened coulomb potential by this method. this approximation is reliable, and the conergency is also good under mild potential change.