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: In chemistry:
 * Molecular Hamiltonian
 * 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