【摘要】 采用一个包含坐标伸缩系数的简单有效的变分波函数,同时考虑到核的运动,利用Mathematica语言开发了一个用变分法计算三体问题的程序,对氦原子和类氦离子(H-,He,Li+,Be++,B3+,C4+,N5+,O6+)的非相对论基态能量和解析波函数进行了变分计算.在此基础上,对非相对论哈密顿量进行相对论和辐射修正,并考虑到有限核电荷半径的影响,得到了氦原子和类氦离子高精度的基态能量值.更多还原

【Abstract】 Mathematica language is used to make a program that can solve the three_body problem with variational method. Considering the nuclear motion, the nonrelativistic ground energies and the analytic wave functions of the helium atom and the helium_like ions (H~- , He, Li~+ , Be~++ , B~3+ , C~4+ , N~5+ , O~6+ ) are presented by using a simple effective variational wave function with a flexible parameter k. Based on these results, the influence of a finite nucleus charge radius, the relativistic and radiative corrections on the nonrelativistic Hamiltonian are discussed. The high precision values of the helium atom and the helium_like ions ground energies are evaluated.更多还原