C_(3V)对称性分子多光子激发的同位素效应

The Isotopic Effects in the Ir multiphoton Excitation of Molecules with C 3V Symmetry

用二次量子化方法和酉变换得到ＸＹ３分子伸缩振动的Ｈａｍｉｌｔｏｎｉａｎ算子，其中的系数优化后用来计算ＮＨ３和ＮＤ３分子的本征能量，其结果与实验值相符。利用这个简单的Ｈａｍｉｌｔｏｎｉａｎ算子计算了在激光场中ＮＨ３和ＮＤ３分子的多光子激发。详细讨论了跃迁概率的长时间平均值和同位素效应。

A stretch vibrtion Hamiltonian of XY 3 molecule has been derived by using the second quantization,unitary transformations and the optimization of coefficients.The energy spectrum of NH 3 and ND 3 molecules obtained from this Hamiltonian is in good agreement with that of experments.The multiphoton excitation of NH 3 and ND 3 molecules in laser fields have been calculated.The long time average of the transition probabilities and the isotopic dffects are discussed in detail.