Hamiltonian may refer to
In both mathematics and physics (specifically mathematical physics), (after William Rowan Hamilton):
the term Hamiltonian refers to any energy function defined by a Hamiltonian vector field, a particular vector field on a symplectic manifold;
more specifically, as an adjective it is used in the phrases:
In mathematical physics (after William Rowan Hamilton):
- Hamiltonian system
- Hamiltonian flow
- Hamiltonian vector field
- Hamiltonian mechanics in classical mechanics
- Hamilton's principle
- Hamilton–Jacobi equation
In mathematics (after William Rowan Hamilton):
- 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 (after William Rowan Hamilton):
- Hamiltonian (quantum mechanics)
- Molecular Hamiltonian
- Hamiltonian constraint
- Hamiltonian fluid mechanics
- Hamiltonian lattice gauge theory
In Chemistry
- Molecular Hamiltonian
- Dyall Hamiltonian
In control theory (after William Rowan Hamilton):
- Hamiltonian (control theory)
- Hamilton–Jacobi–Bellman equation
In Language (after educationist James Hamilton (1769–1831) (de-wiki))
- Hamiltonian method
Other uses:
- Hamiltonian economic program as put forward by the eighteenth century American politician Alexander Hamilton
- a demonym for a person from any of several places named Hamilton.