Hamiltonian may refer to:

• 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

• 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
• All pages with titles beginning with Hamiltonian
• All pages with titles containing Hamiltonian