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, i.e., a Hamiltonian function;

Derived uses:

In chemistry and physics:

• Hamiltonian (quantum mechanics)
• Molecular Hamiltonian

In Chemistry:

• Dyall Hamiltonian

In control theory:

• Hamiltonian (control theory)

more specifically, as an adjective it is used in the phrases:

In mathematics and physics, esp. mathematical physics (after William Rowan Hamilton):

• Hamiltonian function
• Hamiltonian flow
• Hamiltonian mechanics in classical mechanics
• Hamiltonian system
• Hamiltonian vector field

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 constraint
• Hamiltonian fluid mechanics
• Hamiltonian operator, see Hamiltonian (quantum mechanics)
• Hamiltonian lattice gauge theory

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

See also

• List of things named after William Rowan Hamilton