Hamiltonian may refer to:

Hamiltonian mechanics, a formalism based on:

• Hamiltonian (mechanics), a function that represents the total energy of a system

Hamiltonian (quantum mechanics), an operator corresponding to the total energy of that system

• Dyall Hamiltonian, a modified Hamiltonian with two-electron nature

• Molecular Hamiltonian, the Hamiltonian operator representing the energy of the electrons and nuclei in a molecule

• Hamiltonian (control theory), a function used to solve a problem of optimal control for a dynamical system

• Hamiltonian path, a path in a graph that visits each vertex exactly once

• Hamiltonian matrix, a matrix with certain special properties commonly used in linear algebra

• Hamiltonian group, a non-abelian group the subgroups of which are all normal

• Hamiltonian economic program, the economic policies advocated by Alexander Hamilton, the first United States Secretary of the Treasury

See also

• Alexander Hamilton (1755 or 1757–1804), American statesman and one of the Founding Fathers of the US

• Hamilton (disambiguation)

• List of things named after William Rowan Hamilton

• Hambletonian (disambiguation)