从不充分的光谱信息中提取分子势
Extracting molecular potentials from insufficient spectroscopic information
摘要：
我们扩展了我们最近开发的反演方法，从荧光线位置和线强度提取激发态电位。我们认为，以前的限制的方法所产生的输入数据不足的情况下，相对较弱的排放数据是没有实验。我们开发了一个解决这个问题的“再生”这些弱过渡线通过应用模型潜力，例如莫尔斯潜力。这个过程的结果，说明了从最低的三个振动能级的B（$^1 Π)$状态的LiRb的Q支发射，示出有一个错误的$0.29$厘米$^{-1}$在经典允许的区域和一个全局错误的$5.67$厘米$^{-1}$为$V\le E(ν'=10)$。考虑到测得的线强度的统计误差，也证明了这一过程的鲁棒性。
英文摘要：
We extend our recently developed inversion method to extract excited state potentials from fluorescence line positions and line strengths. We consider a previous limitation of the method arising due to insufficient input data in cases where the relatively weaker emission data are not experimentally available. We develop a solution to this problem by "regenerating" these weak transition lines via applying a model potential, e.g. a Morse potential. The result of this procedure, illustrated for the Q-branch emission from the lowest three vibrational levels of the B($^1 Π)$ state of LiRb, is shown to have an error of $0.29$ cm$^{-1}$ in the classically allowed region and a global error of $5.67$ cm$^{-1}$ for $V\le E(ν'=10)$. The robustness of this procedure is also demonstrated by considering the statistical error in the measured line intensities.
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