Classical Mechanics/Hamilton Theory

< Classical Mechanics

In addition to the Lagrangian description of the system, the Hamiltonian description can also be used.

The Hamiltonian $$\mathcal{H}$$ can be constructed as follows

$$\mathcal{H} = \sum_{n} p_{n}\dot{q}_{n} -\mathcal{L} $$

Where $$p$$ is the momentum, $$q$$ is the position, and $$\mathcal{L}$$ is the Lagrangian.