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List of things named after William Rowan Hamilton : ウィキペディア英語版 | List of things named after William Rowan Hamilton List of things named after William Rowan Hamilton: * Cayley–Hamilton theorem * Hamilton's equations * Hamilton's principle * Hamilton–Jacobi equation * Hamilton–Jacobi–Bellman equation, related equation in control theory ==Hamiltonian==
In both ''mathematics'' and ''physics'' (specifically ''mathematical physics''): the term Hamiltonian refers to any energy function defined by a Hamiltonian vector field, a particular vector field on a symplectic manifold; for related concepts see Hamiltonian (control theory) in control theory and Hamiltonian (quantum mechanics). In ''physics'' and ''chemistry'': * Molecular Hamiltonian In ''chemistry'': * Dyall Hamiltonian More specifically, as an adjective it is used in the phrases: In ''mathematical physics'': * Hamiltonian flow * Hamiltonian function * Hamiltonian mechanics in classical mechanics * Hamiltonian optics * Hamiltonian principle, see Hamilton's principle * Hamiltonian system * Hamiltonian vector field In ''mathematics'': * Hamiltonian path, in graph theory * * Hamiltonian cycle, a special case of a Hamiltonian path * Hamiltonian group, in group theory * Hamiltonian matrix * Hamiltonian numbers (or quaternions) In ''physics'': * Hamiltonian constraint * Hamiltonian fluid mechanics * Hamiltonian operator, see Hamiltonian (quantum mechanics) * Hamiltonian lattice gauge theory
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