The enery-value of the three-body harmonic coupling system in three-dimension space has been given exactly. Based on Berry and Tabor's theory,we studied the sensitivity of the level distribution function P(s) on the coupling. The results show that the three-body harmonic coupling system can be solved strictly in three-dimension space. Distribution function P(s) of the system will change while external factors slightly influence on it.%给出了三维三体谐振子耦合势系统的能级本征值。利用Berry和Tabor理论,研究了该系统的能级分布函数P(s)对系统中耦合参数的敏感性。结果表明,三维空间中三体谐振子耦合系统是一个可以严格求解的系统。外界对系统的微小影响,将会导致系统分布函数P(s)的剧烈变化。
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