由哈密顿函数法就可进行解析射线追踪和傍轴射线追踪。
Tracing and paraxial ray tracing are performed analytically by a Hamiltonian formalism.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
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.
写出阻尼谐振子的哈密顿函数，对其直接量子化，用分离变量法得出了薛定谔方程的解。
The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator, and its solution is obtained by the separation of variables.
根据我们所提出的在氢键系统中的新哈密顿函数，并且使用完整的量子力学方法，本文得到了该系统中激发的质子孤立子的动力学方程组。
Dynamic equations for the proton solitons excited in the hydrogen bonded systems have been obtained by using completely quantum-mechanical method from our Hamiltonian.
根据我们所提出的在氢键系统中的新哈密顿函数，并且使用完整的量子力学方法，本文得到了该系统中激发的质子孤立子的动力学方程组。
Dynamic equations for the proton solitons excited in the hydrogen bonded systems have been obtained by using completely quantum-mechanical method from our Hamiltonian.
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