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)