# Classical Mechanics/Hamilton Theory

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

The Hamiltonian can be constructed as follows

Where is the momentum, is the position, and is the Lagrangian.

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.