noun Ham·il·to·ni·an \ˌha-məl-ˈtō-nē-ən\

Definition of Hamiltonian

  1. :  a function that is used to describe a dynamic system (as the motion of a particle) in terms of components of momentum and coordinates of space and time and that is equal to the total energy of the system when time is not explicitly part of the function — compare lagrangian

Origin and Etymology of hamiltonian

Sir William Hamilton †1865 Irish mathematician

First Known Use: 1926

Learn More about hamiltonian

Seen and Heard

What made you want to look up Hamiltonian? Please tell us where you read or heard it (including the quote, if possible).