1. hamiltonian - Noun
2. hamiltonian - Adjective
(mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
(mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.
(mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.
(historical, chiefly US, of certain fiscal policies) Advocated by Alexander Hamilton.
Relating to James Hamilton (1769-1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.
(physics, Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system.
(physics, quantum mechanics) The observable, denoted H, that corresponds to the total energy of the system.
(historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.
Hamiltonian (comparative more Hamiltonian, superlative most Hamiltonian)
Of or relating to any city named Hamilton.
Hamiltonian (plural Hamiltonians)
A native or inhabitant of any city named Hamilton.
hamiltonian
Alternative letter-case form of Hamiltonian
Nobody else in that platoon can tell a Hamiltonian from a hamburger. Joe Haldeman
Alternatively, a 4-coloring of the faces of a Hamiltonian cubic planar graph may be constructed directly, using two colors for the faces inside the cycle and two more colors for the faces outside. Source: Internet
Different initial conditions of the integrable Hamiltonian system will trace different invariant tori in phase space. Source: Internet
Chemical dynamics A further step can consist of solving the Schrödinger equation with the total molecular Hamiltonian in order to study the motion of molecules. Source: Internet
Complete orthonormal systems of wave functions appear naturally as the eigenfunctions of the Hamiltonian (of a bound system ) in quantum mechanics that measures the energy levels, which are called the eigenvalues. Source: Internet
Energetically, perfect absence of frustration should be non-favorable and atypical for a spin glass, which means that one should add the loop product to the Hamiltonian, by some kind of term representing a "punishment". Source: Internet