Definition of Hamiltonian
: a function that is used to describe a dynamic system (such 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
From the M-W Editors
Origin and Etymology of hamiltonian
Sir William Hamilton †1865 Irish mathematician
First Known Use: 1926
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See words that rhyme with Hamiltonian Britannica.com: Encyclopedia article about Hamiltonian
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