Hamiltonian may refer to: *

Hamiltonian mechanics Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities \dot q^i used in Lagrangian mechanics with (generalized) ''momen ...

, a function that represents the total energy of a system *

Hamiltonian (quantum mechanics) 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 Hamilton ...

, an operator corresponding to the total energy of that system **

Dyall Hamiltonian In quantum chemistry, the Dyall Hamiltonian is a modified Hamiltonian with two-electron nature. It can be written as follows: :\hat^ = \hat^_i + \hat^_v + C :\hat^_i = \sum_^ \varepsilon_i E_ + \sum_r^ \varepsilon_r E_ :\hat^_v = \sum_^ h_^ E_ ...

, a modified Hamiltonian with two-electron nature **

Molecular Hamiltonian In atomic, molecular, and optical physics and quantum chemistry, the molecular Hamiltonian is the Hamiltonian operator representing the energy of the electrons and nuclei in a molecule. This operator and the associated Schrödinger equation p ...

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

Hamiltonian (control theory) The Hamiltonian is a function used to solve a problem of optimal control for a dynamical system. It can be understood as an instantaneous increment of the Lagrangian expression of the problem that is to be optimized over a certain time period. In ...

, a function used to solve a problem of optimal control for a dynamical system *

Hamiltonian path In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex ...

, a path in a graph that visits each vertex exactly once *

Hamiltonian group In group theory, a Dedekind group is a group ''G'' such that every subgroup of ''G'' is normal. All abelian groups are Dedekind groups. A non-abelian Dedekind group is called a Hamiltonian group. The most familiar (and smallest) example of a Hami ...

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

Hamiltonian economic program The Hamiltonian economic program was the set of measures that were proposed by American Founding Father and first Secretary of the Treasury Alexander Hamilton in four notable reports and implemented by the US Congress during George Washington's ...

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

See also