# Hamiltonian

Ham·il·to·ni·an

**MLA Style**

"Hamiltonian." YourDictionary, n.d. Web. 15 January 2019. <https://www.yourdictionary.com/hamiltonian>.

**APA Style**

Hamiltonian. (n.d.). Retrieved January 15th, 2019, from https://www.yourdictionary.com/hamiltonian

## Hamiltonian

noun

*Abbr.*

**H**

Origin of Hamiltonian

*After Sir William Rowan*

*Hamilton*

*(1805-1865), Irish mathematician*

**MLA Style**

"Hamiltonian." YourDictionary, n.d. Web. 15 January 2019. <https://www.yourdictionary.com/hamiltonian>.

**APA Style**

Hamiltonian. (n.d.). Retrieved January 15th, 2019, from https://www.yourdictionary.com/hamiltonian

**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).

**MLA Style**

"Hamiltonian." YourDictionary, n.d. Web. 15 January 2019. <https://www.yourdictionary.com/hamiltonian>.

**APA Style**

Hamiltonian. (n.d.). Retrieved January 15th, 2019, from https://www.yourdictionary.com/hamiltonian

- Alternative capitalization of
*Hamiltonian*.

**MLA Style**

**APA Style**

Hamiltonian. (n.d.). Retrieved January 15th, 2019, from https://www.yourdictionary.com/hamiltonian