苯的振动量子能级的非线性量子理论计算

Calculation of the Vibrational Quantum Energy Levels of Benzene Molecules by Nonlinear Quantum Theory

用最近发展起来的非线性量子力学的定态本征方程的理论去计算蒸气和液体的苯（C6H6）和重苯（C6D6）的CH和CD键的振动所产生的量子能态。同时用非线性简并微扰理论计算了在弱色散极限下苯的稳定态的能态劈裂，得到较为满意的结果．

In this paper, the quantum energy levels and the level splitting of the firstand the second excited states generated by the stretching vibration of CH and CD bondsin normal benzene C6H6 (vapour and liquid) and deuterated benzene C6D6 (vapour andliquid) haye been studied in detail by new non-linear quantum mechanical theory in weakdisperse limit. The distribution of energy levels of benzene molecules has been also obtained, and is consistent with experimental data.