< Classical Mechanics
In addition to the Lagrangian description of the system, the Hamiltonian description can also be used.
The Hamiltonian H {\displaystyle {\mathcal {H}}} can be constructed as follows
H = ∑ n p n q ˙ n − L {\displaystyle {\mathcal {H}}=\sum _{n}p_{n}{\dot {q}}_{n}-{\mathcal {L}}}
Where p {\displaystyle p} is the momentum, q {\displaystyle q} is the position, and L {\displaystyle {\mathcal {L}}} is the Lagrangian.