Hamiltonian mechanics ↩

Metadata

aliases: []
shorthands: {}
created: 2022-05-28 13:53:16
modified: 2022-05-28 13:59:23

A physical system with

degrees of freedom is described by a Hamiltonian function:

Where are the canonical coordinates and are the canonical momenta describing the state of the system.

The Hamiltonian equals the energy of the system and it drives the time evolution of it through the canonical equations:

Where and denotes the time derivatives of and .