List of things named after William Rowan Hamilton: 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: In chemistry: More specifically, as an adjective it is used in the phrases: In mathematical physics: In mathematics: In physics: 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, i.e., a Hamiltonian function; In mathematics : In physics and chemistry: In physics: In Chemistry : In control theory: