一类双原子分子新的变形Schiobger型势和振转能
A new deformed Schioberg-type potential and ro-vibrational energies for some diatomic molecules
摘要：
我们提出了一个新的变形Schiobger型双原子分子势。我们证明了它等价于Tietz-Hua振子势。我们讨论了如何将变形Schiöberg势与Morse势、Deng-Fan势、改进的Manning-Rosen势和变形的修正Rosen-Morse势模型联系起来。我们将我们的潜力转化为一个适当的形式，并使用超对称量子化，找到一个封闭的形式的解析解的振转能级是高度准确的振动和转动量子数的范围很广。我们讨论我们的结果使用4-双原子分子NO，O2，O2+，和N2。我们的结果与广义伪谱数值方法的结果进行了比较。
英文摘要：
We suggest a new deformed Schioberg-type potential for diatomic molecules. We show that it is equivalent to Tietz-Hua oscillator potential. We discuss how to relate our deformed Schiöberg potential to Morse, to Deng-Fan , to the improved Manning-Rosen, and to the deformed modified Rosen-Morse potential models. We transform our potential into a proper form and use the supersymmetric quantization to find a closed form analytical solution for the ro-vibrational energy levels that are highly accurate over a wide range of vibrational and rotational quantum numbers. We discuss our results using 4-diatomic molecules NO, O2, O2+, and N2. Our results turn out to compare excellently with those from a generalized pseudospectral numerical method.
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