Hamiltonian

{{wiktionary|Hamiltonian}}

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