本文给出了关于哈密顿系统低维环面的一个推广的KAM定理，它适用于同时存在法向频率和双曲法向分量的情况。
A generalized KAM theorem for lower dimensional tori in Hamiltonian systems is obtained, which applies to the case where there are normal frequencies and hyperbolic normal components simultaneously.
运用临界点理论中的极小、极大方法得到一类超二次哈密顿系统的周期解的存在性的存在性定理。
Some solvability conditions of periodic solutions are obtained for a class of first order(superquadratic) non-autonomous Hamiltonian systems in light of the minimax methods of critical point theory.
哈密顿量随时间绝热改变的量子系统遵循绝热定理，但系统波函数不具有定态的稳定性质，它们不是定。
A quantal system with Hamiltonian which varies adiabatically with time obeys the adiabatic theorem, but the state of the system is not a stationary state having the stable property.
利用主要定理2很容易证明一个系统是否具有文中所给哈密顿函数的哈密顿系统。
Using the main theorem 2 we can easy to validate that whether the systems are Hamiltonian with one of the Hamiltonian functions which are given by this work.
利用主要定理2很容易证明一个系统是否具有文中所给哈密顿函数的哈密顿系统。
Using the main theorem 2 we can easy to validate that whether the systems are Hamiltonian with one of the Hamiltonian functions which are given by this work.
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