# Hamiltonian

[ham-uh l-toh-nee-uh n]

- pertaining to or advocating Hamiltonianism.

- a supporter of Alexander Hamilton or Hamiltonianism.

## Origin of Hamiltonian^{}

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for hamiltonian

### Contemporary Examples

#### Our movement will adopt a Hamiltonian posture in the way we discuss government.

A Young Republican Looks ForwardNovember 13, 2012

#### And that his feelings for Hamilton led to a government and a country that became Hamiltonian rather than Jeffersonian.

### Historical Examples

#### This paper had, by now, departed from the policy of its Hamiltonian founder.

The Life of John Marshall Volume 4 of 4Albert J. Beveridge

#### Some urged Adams to overthrow the Hamiltonian cabal which opposed him.

The Life of John Marshall (Volume 2 of 4)Albert J. Beveridge

#### Of course Theodore Roosevelt is Hamiltonian with a difference.

The Promise Of American LifeHerbert David Croly

#### The Homoeopathic system of acquiring knowledge 113is more to their taste than even the Hamiltonian.

The Comic English GrammarPercival Leigh

#### I prescribed to myself, too, a sort of Hamiltonian system for learning parts; and learnt a great number.

# Hamiltonian

- a mathematical function of the coordinates and momenta of a system of particles used to express their equations of motion
- a mathematical operator that generates such a functionSymbol: H

- denoting or relating to Sir William Rowan Hamilton, or to the theory of mechanics or mathematical operator devised by him

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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## Word Origin and History for hamiltonian

# Hamiltonian

1797, follower of, or characteristic of, U.S. politician Alexander Hamilton (d.1804).

Online Etymology Dictionary, © 2010 Douglas Harper

# Hamiltonian

[hăm′əl-tō′nē-ən]

- A mathematical function or operator that can be used to describe the state of a physical system. In classical mechanics, the Hamiltonian is a function of coordinates and momenta of bodies in the system, treated as independent variables. It is equal to the sum of the kinetic and potential energies of the system, and can be used to derive the equations of motion for the system. In quantum mechanics, the Hamiltonian is an operator corresponding to the total energy of the system. The Hamiltonian is named after Irish mathematician William Rowan Hamilton (1805-1865).

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