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.
通过引入对偶变量，将平面正交各向异性问题导入哈密顿体系，实现从欧几里德几何空间向辛几何空间的转换。
Based on the dual variables, the Hamiltonian system theory is introduced into plane orthotropy elasticity, the transformation from Euclidian space to symplectic space is realized.
对于哈密顿体系的偏微分方程分离变量，导致哈密顿型微分方程及本征值问题。
Separation of variable method is applied to Hamilton system, which derives to the eigenproblem of Hamilton differential equations.
建立了非保守约束哈密顿系统的正则方程，在增广相空间中研究了系统的对称性与精确不变量。
Firstly, the canonical equations of nonconservative constrained Hamiltonian systems are established, and the symmetries and exact invariants of the systems in the extended phase space are studied.
建立了非保守约束哈密顿系统的正则方程，在增广相空间中研究了系统的对称性与精确不变量。
Firstly, the canonical equations of nonconservative constrained Hamiltonian systems are established, and the symmetries and exact invariants of the systems in the extended phase space are studied.
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