# Hamiltonian

Ham·il·to·ni·an of or characteristic of Alexander Hamilton or his federalist principles

a follower of Alexander Hamilton

## Hamiltonian

noun

*Abbr.*

**H**

A mathematical function that can be used to generate the equations of motion of a dynamic system, equal for many such systems to the sum of the kinetic and potential energies of the system expressed in terms of the system's coordinates and momenta treated as independent variables.

Origin of Hamiltonian

*After Sir William Rowan*

*Hamilton*

*(1805-1865), Irish mathematician*

## hamiltonian

Adjective

- Alternative capitalization of
*Hamiltonian*.