Hamiltonian

Hamiltonian may refer to

In mathematics (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:

• Hamiltonian system
• Hamiltonian path, in graph theory
  • Hamiltonian cycle, a special case of a Hamiltonian path
• Hamiltonian group, in group theory
• Hamiltonian (control theory)
• Hamiltonian matrix
• Hamiltonian flow
• Hamiltonian vector field
• Hamiltonian numbers (or quaternions)

In physics (after William Rowan Hamilton):

• Hamiltonian system
• Hamiltonian mechanics in classical mechanics
• Hamilton's principle
• Hamilton–Jacobi equation
• Hamilton–Jacobi–Bellman equation
• Hamiltonian (quantum mechanics)
• Molecular Hamiltonian
• Hamiltonian constraint
• Hamiltonian fluid mechanics
• Hamiltonian lattice gauge theory
• Hamiltonian vector field

In Chemistry

• Molecular Hamiltonian
• Dyall Hamiltonian

In Language

• 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.

See also

• William Rowan Hamilton