哈密顿力学是哈密顿于1833年建立的经典力学的重新表述，它由拉格朗日力学演变而来。拉格朗日力学是经典力学的另一表述，由拉格朗日于1788年建立。哈密顿力学与拉格朗日力学不同的是前者可以使用辛空间而不依赖于拉格朗日力学表述。 适合用哈密顿力学表述的动力系统称为哈密顿系统。
作为哈密顿力学逆问题，从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。
As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
运用经典的哈密顿正则方程，建立了冲击式压实机的参数化动力学模型。
The parameterized dynamic model of the impact compactor is made based on the classical Hamilton's canonical equations.
通过量子化电容耦合电路和对角化电路哈密顿量，研究了介观电路在压缩真空态的激发态下的量子力学效应。
The quantum effects of the mesoscopic circuit with capacitive coupling under the excited states of squeezed vacuum states are investigated by quantizing the circuit and diagonalizing its Hamiltonian.
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