Whittaker-Hill equation, Ince polynomials and molecular torsional modes
Whittaker-Hill equation, Ince polynomials and molecular torsional modes
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Whittaker-Hill 方程、Ince 多项式和分子扭转模式
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
V. Aquilanti
中科院分区：
文献类型：
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作者：
L. Roncaratti;V. Aquilanti
我们提出了一个分析的Whittaker-Hill方程在量子力学中的有用性时，周期性的潜力。由于因斯的变换，导致多项式的解决方案，迄今尚未引起太多的关注，在应用中。相对于Mathieu方程，这里我们有一个额外的参数，它允许描述各种现象，包括柔性分子的扭转运动的处理。实例进行了讨论，特别注意的情况下，过氧化氢和类似的分子。© 2009 Wiley Periodicals，Inc.国际量子化学杂志，2010年
We present an analysis of the Whittaker–Hill equation in view of its usefulness in quantum mechanics when periodic potentials are involved. The transformation due to Ince leads to polynomial solutions which have not attracted much attention so far in the applications. With respect to Mathieu equation, here we have an additional parameter, which permits to describe a variety of phenomena, including the treatment of the torsional motion of flexible molecules. Examples are discussed, with particular attention payed to the case of H2O2 and similar molecules. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2010