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 Hamilton–Jacobi–Einstein equation 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

By field

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;

Hamiltonian field theory Hamiltonian flow Hamiltonian function, see above Hamiltonian system Hamiltonian vector field Hamiltonian mechanics in classical mechanics Hamilton's principle Hamilton–Jacobi equation

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 and chemistry: Hamiltonian operator, see Hamiltonian (quantum mechanics) Molecular Hamiltonian

In physics: Hamiltonian constraint Hamiltonian fluid mechanics Hamiltonian lattice gauge theory

In Chemistry : Dyall Hamiltonian

In control theory: Hamiltonian (control theory) Hamilton–Jacobi–Bellman equation

Other

The Hamilton Building at Trinity College Dublin

See also Hamiltonian (disambiguation)