绝热近似下氢分子离子的闭轨道(英文)

Closed Orbits of the Hydrogen Molecular Ion within BOA

本文报道了BOA近似下红分子离子的无穷多周期轨道．我们首先根据Strand和Reinhard规则将这些轨道分成了三类，然后分离椭圆轨道下的轨道分技比来标记它们。治这些轨道的半经典量子化给出了与量子力学结果基本吻合的电子能量曲线。

We present an infinite number of periodic orbits in the system of the hydrogen molecular ion under the Born-Oppenheimer approximation. We classify them,first, according to the Strand and Reihart scheme, into three types and then label them by usingtheir winding numbers in the separable ellipsoidal coordinates. Semiclassical quantization a-long some of these orbits yields electronic energy curves which are in reasonable agreementwith the quantum results.