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n. Abbr. H
A mathematical function that can be used to generate the equations of motion of a dynamic system, equal for many such systems to the sum of the kinetic and potential energies of the system expressed in terms of the system's coordinates and momenta treated as independent variables.

[After Sir William Rowan Hamilton (1805-1865), Irish mathematician.]


(ˌhæməlˈtəʊnɪən) physics maths
1. (General Physics) a mathematical function of the coordinates and momenta of a system of particles used to express their equations of motion
2. (General Physics) a mathematical operator that generates such a function. Symbol: H
(General Physics) denoting or relating to Sir William Rowan Hamilton, or to the theory of mechanics or mathematical operator devised by him


(ˌhæm əlˈtoʊ ni ən)

1. pertaining to or advocating Hamiltonianism.
2. a supporter of Alexander Hamilton or Hamiltonianism.
[1790–1800, Amer.]
References in periodicals archive ?
Abstract: The authors present a theoretical method to generate a highly accurate time-independent Hamiltonian governing the finite-time behavior of a time-periodic system.
After the settlement, Davis described his triumph to Texas Lawyer as "Hamiltonian."
Kate Elizabeth Brown has thrust Alexander Hamilton to center stage as "the [not 'a'] central figure in the development of American law during the early republic." "Hamiltonian constitutionalism," articulated primarily in Numbers 32 and 82 of The Federalist, "proved to be enduring and authoritative," she writes; "the US Supreme Court upheld and cited Hamiltonian legal arguments well into the nineteenth century, and occasionally in the twentieth" (6).
Enter our give-away today to be in with a chance of winning a pair of tickets to the Hamiltonian Raceday onWednesday, June 6, the Hamilton Audi Racenight onWednesday, June 13, or the Bothwell Castle Raceday onWednesday, June 20.
Moreover, in the lattice soliton theory, if we can seek out a Hamiltonian operator J and a series of conserved functionals [[??].sup.(m).sub.n] (m [greater than or equal to] 1) so that (4) maybe represented as the following forms
The Hamiltonian Cycle Problem (HCP) is to identify a cycle in an undirected graph connecting all the vertices in the graph.
In polymer quantum approach a polymer length scale, [lambda], which shows the scale of the segments of the granular space, enters into the Hamiltonian of the system to deform its functional form into a so-called polymeric Hamiltonian.
Due to the important role of EPs in non-Hermitian systems, in most theoretical studies of non-Hermitian quantum physics only the eigenvalues of the non-Hermitian Hamiltonian H are considered in detail.
The acquisition includes a cooperative distributed inferencing system, based on Hamiltonian models and other proprietary algorithms that enables queries within huge bodies of unstructured data where straight computational, traditional machine learning and manual approaches are impractical, if not impossible.
In order to do this, we applied the Smaller Alignment Index (SALI) [9-13], which is a mathematical tool for distinguishing regular and chaotic motions in the phase space of Hamiltonian Dynamical Systems in analytical gravitational potentials.

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