Hamiltonian

hamiltonian English Pronunciation en /ˌhæmɪlˈtəʊ.ni.ən/ RP en /ˌhæmɪlˈtoʊ.ni.ən/ GA en əʊniən 5 Etymology 1 en surname :af Hamilton<pos:a surname> -ian + 1 Adjective - en mathematics Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865). en mathematics graph theory of a cycle/path That visits each vertex exactly once. en mathematics graph theory of a graph Containing a Hamiltonian cycle. en 2016 Jacky Cresson; Jordy Palafox Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat arXiv http://arxiv.org/abs/1605.07775 Using the correction of a vector field to characterize isochronicity and explicit computations of this quantity for polynomial vector fields, wa are able to describe a very large class of nonisochronous Hamiltonian system of even degree of degree arbitrary large. en historical chiefly US of certain fiscal policies Advocated by American politician Alexander Hamilton (1755–1804). Relating to James Hamilton (language teacher) James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation. Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer. Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician. Derived terms en Hamiltonian constraint Hamiltonian cycle Hamiltonianism Hamiltonianness Hamiltonian path Hamiltonian spite hypohamiltonian pseudohamiltonian Noun en physics Hamiltonian mechanics A function (of time), denoted H, that corresponds to the total energy of the system. en 2016 Edward Farhi; Aram W Harrow Quantum Supremacy through the Quantum Approximate Optimization Algorithm arXiv http://arxiv.org/abs/1602.07674 We contrast this with the case of sampling from the output of a quantum computer running the Quantum Adiabatic Algorithm (QADI) with the restriction that the Hamiltonian that governs the evolution is gapped and stoquastic. en 2016 R. Barends; et al https://www.researchgate.net/publication/283761809_Digitized_adiabatic_quantum_computing_with_a_superconducting_circuit Digitized adiabatic quantum computing with a superconducting circuit Nature 534, 222-226, 9 June 2016 As stoquastic problems we use frustrated Ising Hamiltonians, having random local X and Z fields, and random σzσz couplings. en physics quantum mechanics The observable, denoted H, that corresponds to the total energy of the system. en historical chiefly US A member of the faction of the US government in the George Washington administration led by Alexander Hamilton. Derived terms H Kamiltonian Translations (quantum mechanics) Danish: da Hamiltonoperator c German: de Hamiltonoperator m Persian: fa هامیلتونی hâmiltoni Polish: pl operator Hamiltona m-in, pl operator energii m-in, pl hamiltonian m-in Portuguese: pt hamiltoniano m Russian: ru гамильтониа́н m Ukrainian: uk гамільтоніа́н m Etymology 2 en place name :af Hamilton<pos:a place name> -ian + 1 Adjective Of or relating to any city named Hamilton. Noun A native or inhabitant of any city named Hamilton. en eponyms en Demonyms Science fiction