hamiltonian

1. Alternative letter-case form of Hamiltonian.

1. not comparablemathematicsOf, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
2. not comparablegraph theoryThat visits each vertex exactly once.
3. not comparablegraph theoryContaining a Hamiltonian cycle.

   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.

   2016, Jacky Cresson, Jordy Palafox, “Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat”, in arXiv

4. UShistoricalnot comparableAdvocated by American politician Alexander Hamilton (1755–1804).
5. not comparableRelating to James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
6. not comparableOf, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer.
7. not comparableRelating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.

plural Hamiltonians

1. Hamiltonian mechanicsnatural sciencesA function (of time), denoted H, that corresponds to the total energy of the system.

   As stoquastic problems we use frustrated Ising Hamiltonians, having random local X and Z fields, and random σ_zσ_z couplings.

   2016, R. Barends et al., “Digitized adiabatic quantum computing with a superconducting circuit”, in Nature, 534, 222-226, 9 June 2016

   1 more example

   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.

   2016, Edward Farhi, Aram W Harrow, “Quantum Supremacy through the Quantum Approximate Optimization Algorithm”, in arXiv

2. quantum mechanicsnatural sciencesThe observable, denoted H, that corresponds to the total energy of the system.
3. UShistoricalA member of the faction of the US government in the George Washington administration led by Alexander Hamilton.

comparative more Hamiltonian · superlative most Hamiltonian

1. Of or relating to any city named Hamilton.

plural Hamiltonians

1. A native or inhabitant of any city named Hamilton.