Douglas Harper's Etymology Dictionary
1797, follower of, or characteristic of, U.S. politician Alexander Hamilton (d.1804).
Wiktionary
a. (alternative case form of Hamiltonian English)
Wikipedia
In quantum mechanics, the Hamiltonian is the operator corresponding to the total energy of the system in most of the cases. It is usually denoted by H, also Ȟ or Ĥ. Its spectrum is the set of possible outcomes when one measures the total energy of a system. Because of its close relation to the time-evolution of a system, it is of fundamental importance in most formulations of quantum theory.
The Hamiltonian is named after Sir William Rowan Hamilton (1805–1865), an Irish physicist, astronomer and mathematician, best known for his reformulation of Newtonian mechanics, now called Hamiltonian mechanics.
Hamiltonian may refer to:
The Hamiltonian of optimal control theory was developed by Lev Pontryagin as part of his minimum principle. It was inspired by, but is distinct from, the Hamiltonian of classical mechanics. Pontryagin proved that a necessary condition for solving the optimal control problem is that the control should be chosen so as to minimize the Hamiltonian. For details see Pontryagin's minimum principle.
Usage examples of "hamiltonian".
Then Adams let fly with what to any faithful Hamiltonian was the ultimate insult.
Cray supercomputer, or something, and did some kind of heavy quantum mechanics, worked out a rough numerical-solution Hamiltonian for chlorine, devised some kind of transition state between covalent and ionic, figured out a way to introduce an electron into those chlorines to make them ionic again.
The assumption of such a responsibility implies the rejection of a large part of the Jeffersonian creed, and a renewed attempt to establish in its place the popularity of its Hamiltonian rival.
While one side belittled him as a creature of the Hamiltonians, the other scorned him as a friend of Elbridge Gerry.
He was a peacemaker, whatever the Hamiltonians might say, and the American people did not hold that against him.
If you wanted a man to quantize a nonlinear field, diagonalize a messy Hamiltonian, or dream up a delicate new observational test for theories of kernel creation, you couldn't possibly do better than McAndrew.
The Arrow paradox can be resolved by noting that in the general mathematical treatment of classical mechanics, known as Hamiltonian mechanics after the great (and drunken) Irish mathematician Sir William Rowan Hamilton, the state of a body is given by two quantities, not one.
Among these operators are the Hamiltonian, whose eigenvalues give the energy and hence the mass of the vibrational state, as well as operators generating various gauge symmetries that the theory respects.
In dealing with the mass behaviour of any indefinitely large number of similar objects-such as electrons or dollar bills-the old Hamiltonian laws of periodic motion don't apply.
In dealing with the mass behaviour of any indefinitely large number of similar objectssuch as electrons or dollar billsthe old Hamiltonian laws of periodic motion dont apply.
Newton's laws, yes but the Hamiltonian, Riemannian geometry, wave functions?