Hamiltonian

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.