Hamiltonian

Hamiltonian may refer to:

Physics

• Hamiltonian mechanics, a formalism of classical mechanics
  • Hamiltonian function, the energy function
• Hamiltonian constraint, from any theory that admits a Hamiltonian formulation
• Hamiltonian (quantum mechanics), the operator corresponding to the total energy of the system in most of the cases
• Hamiltonian field theory, a formalism of classical field theory
  • Hamiltonian density, function used in Hamiltonian field theory
• Hamiltonian system, a dynamical system governed by Hamilton's equations
• Hamiltonian vector field, a geometric manifestation of Hamilton's equations in classical mechanics

Mathematics

• Hamiltonian path and Hamiltonian cycle, in graph theory
• Hamiltonian group, in group theory
• Hamiltonian matrix, a type of 2n-by-2n matrix
• Hamiltonian numbers or quaternions, a number system that extends the complex numbers
• Hamiltonian (control theory), part of Lev Pontryagin's minimum principle

Other uses

• Hamiltonian economic program, as put forward by the eighteenth century American politician Alexander Hamilton

See also

• Alexander Hamilton (1755 or 1757–1804), American statesman and one of the Founding Fathers of the US
• Dyall Hamiltonian, a modified Hamiltonian with two-electron nature
• Hamilton (disambiguation)
• Hamiltonian lattice gauge theory, a calculational approach to gauge theory
• Hamiltonian fluid mechanics, the application of Hamiltonian methods to fluid mechanics
• List of things named after William Rowan Hamilton
• Molecular Hamiltonian, the Hamiltonian operator representing the energy of the electrons and nuclei in a molecule
• William Rowan Hamilton (1805–1865), Irish mathematician