**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.

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Related Phrases

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