双中心库仑场中电子经典周期轨道的简化

SIMPTIFICATION TO THE ELECTRONIC PERIODIC ORBITS IN A TWO-CENTRE COULUMB POTENTIAL FIELD

双中心库仑场中存在两个奇点，哈密顿量在ｒｉｊ＝０处为无穷大，本文引入一种正则变换可消去奇点，使运动方程规则化，从而简化了计筹，便于得到电子周期轨道的分岔。

There are two singularities in the field of two centre coulumb potential and in which the Hamiltonian reaches infinite. We introduce a Cononical transformation to regularize these two Singularities and simply the equations of motion. The bifurcation of the periodic orbits could be obtained easily by this procedue.