Hamiltonian

American  

[ham-uhl-toh-nee-uhn] / ˌhæm əlˈtoʊ ni ən /

adjective

1. pertaining to or advocating Hamiltonianism.

---

noun

1. a supporter of Alexander Hamilton or Hamiltonianism.

Hamiltonian British  

/ ˌhæməlˈtəʊnɪən /

noun

1. a mathematical function of the coordinates and momenta of a system of particles used to express their equations of motion

2.  H.  a mathematical operator that generates such a function

---

adjective

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

Hamiltonian Scientific  

/ hăm′əl-tō′nē-ən /

1. 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).

---

Etymology

Origin of Hamiltonian

An Americanism dating back to 1790–1800; Hamilton + -ian

Compare meaning

How does hamiltonian compare to similar and commonly confused words? Explore the most common comparisons:

• Hamiltonian vs. Jeffersonian

Example Sentences

"We conduct precise theoretical calculations using state-of-the-art tensor network calculations and exact diagonalization, a powerful numerical technique used in physics to collect details about a quantum Hamiltonian, which represents the total quantum energy in a system. Through this, we can provide a picture for how the crystal states came about and why they're favored in comparison to other energetically competitive states."

From Science Daily

Morris was a Hamiltonian before Hamilton, a champion of a strong Congress and a strong president.

From Slate

Le also showed how this method can be used in various applications, including quantum metrology with single and multiple magnetic fields and Hamiltonian tomography applied to intricate many-body systems.

From Science Daily

Her Hamiltonian Artists show simulates 360-degree vision by placing pictures up, down and around: stuck to the floor, bent from floor to wall, or mounted above the average visitor’s eye line.

From Washington Post

Twigs, plaster and road signs are among the mundane things repurposed or reimagined in “New. Now. 23,” Hamiltonian Artists’ showcase of its latest quintet of artistic fellows.

From Washington Post