Hamiltonian may refer to:
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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) ''momenta ...
, a function that represents the total energy of a system
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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 Hamiltonian ...
, an operator corresponding to the total energy of that system
**
Dyall Hamiltonian
In quantum chemistry, the Dyall Hamiltonian is a modified 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 ...
, 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
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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. Insp ...
, a function used to solve a problem of optimal control for a dynamical system
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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
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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 Hamilt ...
, a non-abelian group the subgroups of which are all normal
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Hamiltonian economic program
The Hamiltonian economic program was the set of measures that were proposed by American Founding Father and first United States Secretary of the Treasury, Secretary of the Treasury Alexander Hamilton in four notable reports and implemented by the ...
, the economic policies advocated by Alexander Hamilton, the first United States Secretary of the Treasury
See also
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Alexander Hamilton
Alexander Hamilton (January 11, 1755 or 1757July 12, 1804) was an American military officer, statesman, and Founding Father who served as the first United States secretary of the treasury from 1789 to 1795.
Born out of wedlock in Charlest ...
(1755 or 1757–1804), American statesman and one of the Founding Fathers of the US
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Hamilton (disambiguation) Hamilton may refer to:
People
* Hamilton (name), a common British surname and occasional given name, usually of Scottish origin, including a list of persons with the surname
** The Duke of Hamilton, the premier peer of Scotland
** Lord Hamil ...
*
List of things named after William Rowan Hamilton
{{disambiguation, maths