D维空间Cs2分子X1Σ+g态精确解析解
Exact analytical solution to X1Σ+g state of Cs2 molecule in D spatial dimensions

使用完全量子化规则法计算了D维空间中具有任意转动量子数Morse势的Schr？dinger方程，得到了Cs2分子X1Σ+g态旋转-振动能谱，讨论了能谱与维度D和振动量子数之间的关系。结果表明：(1)具有不同转动量子数和振动量子数的能谱随维度D的增大而趋于相同；(2)高维Cs2分子X1Σ+g态的振动能特性与三维相似。
The Schr？dinger equation including Morse potential with arbitrary rotational quantum number in D spatial dimensions was investigated using the proper quantization rule approach. The rotation-vibrational energies for X1Σ+g state of Cs2 molecule were obtained. We discussed the relations of the energy spectra with spatial dimension D, vibrational quantum number, the results show that, (1) the rotation-vibrational energies for X1Σ+g state of Cs2 molecule converge as D increases in the presence of a fixed vibrational quantum number and various rotational quantum numbers, and (2) the behavior of the vibrational energies in higher dimensions remains similar to that of the three-dimensional system.