Definition of Hamiltonian in English:

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Pronunciation: /ˌhaməlˈtōnēən/


1 Physics & Mathematics Relating to or invented by the mathematician Sir W. R. Hamilton, especially denoting concepts employed in the wave-mechanical description of particles.
Example sentences
  • In 1834, Dublin mathematician William Rowan Hamilton applied his work on characteristic functions in optics to Newtonian mechanics, and what is now called the Hamiltonian formalism of mechanics was born.
  • A generalized version of the Pigeonhole is naturally used to show that the Petersen graph does not have Hamiltonian circuits.
  • The game is related to Euler's Knight's Tour problem since, in today's terminology, it asks for a Hamiltonian circuit in a certain graph.
2Relating to the American statesman Alexander Hamilton or his doctrines.
Example sentences
  • The great statesmen of the first half of the 19th century, free traders to a man, were devoted to stopping the Hamiltonian power policy of executive power, entangling alliances and war, taxes and protectionism to benefit northern elites.
  • More expansive still was the attitude towards Hamilton, again almost wholly in the North, that emerged from the carnage of the Civil War and the perception that Hamiltonian centralization would have prevented the war.
  • During the boom years of the 1960s, a period of soaring idealism about ‘the people’ generally, an almost Hamiltonian contempt for the public held sway on Wall Street.


1 (also hamiltonian) Physics & Mathematics A Hamiltonian operator or function.
Example sentences
  • For a massive particle in zero gravity moving in one dimension, the Hamiltonian is just the kinetic energy, which in terms of momentum, not velocity, is just.
  • Recently, Gonzalez and Maddocks performed a detailed theoretical analysis of the problem from the microscopic point of view where the probability measure is an exponential function of the Hamiltonian.
  • Consider a system with a Hamiltonian which posses a quantum phase transition.
2A follower or adherent of Alexander Hamilton or his doctrines.
Example sentences
  • On the one hand there are the Hamiltonians who place a great deal of trust in the executive branch to execute policy in a good faith manner.
  • I say this not to argue against ‘judicial review’ - I'm a Hamiltonian - but to question whether the ‘even one participant’ assertion is valid.



Pronunciation: /-izəm/
Hamiltonian (sense 2 of the adjective).
Example sentences
  • By late 1792 or 1793 the opponents of Hamiltonianism constituted a fairly definite national party, calling itself Republican.
  • The most vital moment in this revival, according to Knott, was when Hamiltonianism melded with the Progressive movement in the presidency of Theodore Roosevelt.
  • Subjects that will be considered are the Marshall Court, the War of 1812, US-Muslim relations, Hamiltonianism, territorial expansion, Thomas Jefferson's vision for America, and slavery.

For editors and proofreaders

Syllabification: Ham·il·to·ni·an

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