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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。
The Hamiltonian operators of the stretching vibration of XY3 were obtained by the second quantization and the unitary transformation. The coefficients of the Hamiltonian were optimized to calculate the intrinsic energies of the NH3 and ND3 molecules. The results are consistent with the experimental data. Multiphoton excitation of NH3 and ND3 molecules in the laser field was calculated using this simple Hamiltonian operator. The long-term average and isotope effects of transition probabilities are discussed in detail.